From 87c9c7ddc934594af3e065406f355f77d06f8975 Mon Sep 17 00:00:00 2001 From: jacksoom Date: Mon, 2 Aug 2021 11:12:38 +0800 Subject: [PATCH 01/15] Add: add Montgomery modular multiplication --- circuits/montgomery_reduction.circom | 67 + package-lock.json | 2550 +++++++++++++++++++-- package.json | 2 +- test/big_int.js | 67 + test/circuits/montgomery_reduction.circom | 3 + 5 files changed, 2475 insertions(+), 214 deletions(-) create mode 100644 circuits/montgomery_reduction.circom create mode 100644 test/big_int.js create mode 100644 test/circuits/montgomery_reduction.circom diff --git a/circuits/montgomery_reduction.circom b/circuits/montgomery_reduction.circom new file mode 100644 index 0000000..358fb06 --- /dev/null +++ b/circuits/montgomery_reduction.circom @@ -0,0 +1,67 @@ + +// Montgomery modular multiplication. CIOS alg +// Souce paper from https://www.microsoft.com/en-us/research/wp-content/uploads/1998/06/97Acar.pdf +// (x * y) mod modulus +template Montgomery(w, nb) { + signal input x[nb]; + signal input y[nb]; + signal input modulus[nb]; + + signal input monty_prime[nb]; + + signal output out[nb + 1]; + + var temps[nb + 2]; + for (var i = 0; i < nb +2 ;i ++) { + temps[i] = 0; + } + + var temp = 0; + var carry = 0; + + for (var i = 0; i< nb; i++) { + for (var j = 0; j < nb; j++) { + temp = temps[j] + x[j] * y[i] + carry; + // t[j], carry = lo_bits, hi_bits + temps[j] = loBitsNum(temp, 64); + carry = temp >> 64; + } + + temp = temps[nb] + carry; + + temps[nb] = loBitsNum(temp, 64); + temps[nb + 1] = temp >> 64; + + var m = (temps[0] * monty_prime[0]) % (2 << 63); + carry = loBitsNum(m); + + for (var k = 1; k < nb; k++) { + temp = temps[k] + m * modulus[k] + carry; + temps[k - 1] = loBitsNum(temp, 64); + carry = temp >> 64; + } + + temp = temps[nb] + carry; + + temps[nb - 1] = loBitsNum(temp, 64); + temps[nb] = temp >> 64 + temps[nb + 1]; + } + + for (var i = 0; i < nb + 1; i++) { + temps[i] --> out[i]; + } +} + +function loBitsNum(num, n) { + var e2 = 1; + var res = 0; + for (var i = 0; i< n; i++) { + if (((num >> i) & 1) == 1) { + res += e2; + } + + e2 = e2 + e2; + } + + return res; +} diff --git a/package-lock.json b/package-lock.json index 1e583e4..e835043 100644 --- a/package-lock.json +++ b/package-lock.json @@ -16,7 +16,7 @@ }, "devDependencies": { "chai": "^4.1.0", - "circom": "alex-ozdemir/circom#a5215f6", + "circom": "0.5.45", "mocha": "^5.2.0", "snarkjs": "0.1.16" } @@ -56,6 +56,18 @@ "node": ">=6.9.0" } }, + "node_modules/@iden3/bigarray": { + "version": "0.0.2", + "resolved": "https://registry.npmjs.org/@iden3/bigarray/-/bigarray-0.0.2.tgz", + "integrity": "sha512-Xzdyxqm1bOFF6pdIsiHLLl3HkSLjbhqJHVyqaTxXt3RqXBEnmsUmEW47H7VOi/ak7TdkRpNkxjyK5Zbkm+y52g==", + "dev": true + }, + "node_modules/@ungap/promise-all-settled": { + "version": "1.1.2", + 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"sha512-rVksvsnNCdJ/ohGc6xgPwyN8eheCxsiLM8mxuE/t/mOVqJewPuO1miLpTHQiRgTKCLexL4MeAFVagts7HmNZ2Q==", + "dev": true } } } diff --git a/package.json b/package.json index 79acca4..841e20e 100644 --- a/package.json +++ b/package.json @@ -30,7 +30,7 @@ }, "devDependencies": { "chai": "^4.1.0", - "circom": "alex-ozdemir/circom#a5215f6", + "circom": "0.5.45", "mocha": "^5.2.0", "snarkjs": "0.1.16" } diff --git a/test/big_int.js b/test/big_int.js new file mode 100644 index 0000000..98d473c --- /dev/null +++ b/test/big_int.js @@ -0,0 +1,67 @@ +const path = require("path"); + +const bigInt = require("big-integer"); +const Scalar = require("ffjavascript").Scalar; +const tester = require("circom").tester; + +function print(circuit, w, s) { + console.log(s + ": " + w[circuit.getSignalIdx(s)]); +} + +function splitToArray(x, w, n) { + let t = bigInt(x); + w = bigInt(w); + n = bigInt(n); + var words = new Array(w); + for (let i = 0; i < n; ++i) { + // words[`${name}[${i}]`] = `${t.mod(bigInt(2).pow(w))}`; + words[i] = `${t.mod(bigInt(2).pow(w))}`; + t = t.divide(bigInt(2).pow(w)); + } + if (!t.isZero()) { + throw `Number ${x} does not fit in ${w * n} bits`; + } + + let end_index = n - 1; + for (let i = n-1;i >=0;i--) { + if(words[i] == '0') { + continue; + } + + words[end_index] = words[i]; + words[i] = '0'; + end_index--; + } + + return words; +} + +describe("big_int test", function () { + + this.timeout(100000); + + let circuit; + before( async() => { + circuit = await tester(path.join(__dirname, "circuits", "montgomery_reduction.circom")); + }); + + it("Should check variuos ege cases", async () => { + const input = { + x: splitToArray(bigInt("12356113212455744564564234654654654468464321564"), 64, 8), + y: splitToArray(bigInt("12356113212455744564564234654654654468464321564"), 64, 8), + // 52656145834278439889366339653259878764854242728404374413724460883 + modulus: splitToArray(bigInt("52435875175126190479447740508185965837690552500527637822603658699938581184513"), 64, 8), + monty_prime: splitToArray("18446744069414584319", 64, 8), + } + + console.log(input); + + const witness = await circuit.calculateWitness (input, true); + + + console.log({out: splitToArray(8, 64, 8)}); + + await circuit.assertOut(witness, {out: splitToArray(8, 64, 8)}); + }); +}); + diff --git a/test/circuits/montgomery_reduction.circom b/test/circuits/montgomery_reduction.circom new file mode 100644 index 0000000..bd02283 --- /dev/null +++ b/test/circuits/montgomery_reduction.circom @@ -0,0 +1,3 @@ +include "../../circuits/montgomery_reduction.circom" + +component main = Montgomery(64, 8); From 68115b0010330b5fa1ce9d31a442acf5cc59f87b Mon Sep 17 00:00:00 2001 From: jacksoom Date: Mon, 2 Aug 2021 11:23:17 +0800 Subject: [PATCH 02/15] modify get lo-bit --- circuits/montgomery_reduction.circom | 25 ++++++------------------- 1 file changed, 6 insertions(+), 19 deletions(-) diff --git a/circuits/montgomery_reduction.circom b/circuits/montgomery_reduction.circom index 358fb06..ee19235 100644 --- a/circuits/montgomery_reduction.circom +++ b/circuits/montgomery_reduction.circom @@ -18,18 +18,19 @@ template Montgomery(w, nb) { var temp = 0; var carry = 0; - + // 0b1111111111111111111111111111111111111111111111111111111111111111 + var lo_64_bit_var = 18446744073709551615; for (var i = 0; i< nb; i++) { for (var j = 0; j < nb; j++) { temp = temps[j] + x[j] * y[i] + carry; // t[j], carry = lo_bits, hi_bits - temps[j] = loBitsNum(temp, 64); + temps[j] = temp & lo_64_bit_var; carry = temp >> 64; } temp = temps[nb] + carry; - temps[nb] = loBitsNum(temp, 64); + temps[nb] = temp & lo_64_bit_var; temps[nb + 1] = temp >> 64; var m = (temps[0] * monty_prime[0]) % (2 << 63); @@ -37,13 +38,13 @@ template Montgomery(w, nb) { for (var k = 1; k < nb; k++) { temp = temps[k] + m * modulus[k] + carry; - temps[k - 1] = loBitsNum(temp, 64); + temps[k - 1] = temp & lo_64_bit_var; carry = temp >> 64; } temp = temps[nb] + carry; - temps[nb - 1] = loBitsNum(temp, 64); + temps[nb - 1] = temp & lo_64_bit_var; temps[nb] = temp >> 64 + temps[nb + 1]; } @@ -51,17 +52,3 @@ template Montgomery(w, nb) { temps[i] --> out[i]; } } - -function loBitsNum(num, n) { - var e2 = 1; - var res = 0; - for (var i = 0; i< n; i++) { - if (((num >> i) & 1) == 1) { - res += e2; - } - - e2 = e2 + e2; - } - - return res; -} From 6c6dd366b4c519ba2476194e315d5ebdf2131e05 Mon Sep 17 00:00:00 2001 From: jacksoom Date: Mon, 2 Aug 2021 14:22:04 +0800 Subject: [PATCH 03/15] feat(montgomery mul): Add some test case --- circuits/montgomery_reduction.circom | 5 +- test/big_int.js | 67 ----------------- test/circuits/montgomery_reduction.circom | 2 +- test/montgomery_reduction.js | 87 +++++++++++++++++++++++ 4 files changed, 91 insertions(+), 70 deletions(-) delete mode 100644 test/big_int.js create mode 100644 test/montgomery_reduction.js diff --git a/circuits/montgomery_reduction.circom b/circuits/montgomery_reduction.circom index ee19235..8f6bd6c 100644 --- a/circuits/montgomery_reduction.circom +++ b/circuits/montgomery_reduction.circom @@ -33,8 +33,8 @@ template Montgomery(w, nb) { temps[nb] = temp & lo_64_bit_var; temps[nb + 1] = temp >> 64; - var m = (temps[0] * monty_prime[0]) % (2 << 63); - carry = loBitsNum(m); + var m = (temps[0] * monty_prime[0]) % (1 << 64); + carry = m & lo_64_bit_var; for (var k = 1; k < nb; k++) { temp = temps[k] + m * modulus[k] + carry; @@ -48,6 +48,7 @@ template Montgomery(w, nb) { temps[nb] = temp >> 64 + temps[nb + 1]; } + for (var i = 0; i < nb + 1; i++) { temps[i] --> out[i]; } diff --git a/test/big_int.js b/test/big_int.js deleted file mode 100644 index 98d473c..0000000 --- a/test/big_int.js +++ /dev/null @@ -1,67 +0,0 @@ -const path = require("path"); - -const bigInt = require("big-integer"); -const Scalar = require("ffjavascript").Scalar; -const tester = require("circom").tester; - -function print(circuit, w, s) { - console.log(s + ": " + w[circuit.getSignalIdx(s)]); -} - -function splitToArray(x, w, n) { - let t = bigInt(x); - w = bigInt(w); - n = bigInt(n); - var words = new Array(w); - for (let i = 0; i < n; ++i) { - // words[`${name}[${i}]`] = `${t.mod(bigInt(2).pow(w))}`; - words[i] = `${t.mod(bigInt(2).pow(w))}`; - t = t.divide(bigInt(2).pow(w)); - } - if (!t.isZero()) { - throw `Number ${x} does not fit in ${w * n} bits`; - } - - let end_index = n - 1; - for (let i = n-1;i >=0;i--) { - if(words[i] == '0') { - continue; - } - - words[end_index] = words[i]; - words[i] = '0'; - end_index--; - } - - return words; -} - -describe("big_int test", function () { - - this.timeout(100000); - - let circuit; - before( async() => { - circuit = await tester(path.join(__dirname, "circuits", "montgomery_reduction.circom")); - }); - - it("Should check variuos ege cases", async () => { - const input = { - x: splitToArray(bigInt("12356113212455744564564234654654654468464321564"), 64, 8), - y: splitToArray(bigInt("12356113212455744564564234654654654468464321564"), 64, 8), - // 52656145834278439889366339653259878764854242728404374413724460883 - modulus: splitToArray(bigInt("52435875175126190479447740508185965837690552500527637822603658699938581184513"), 64, 8), - monty_prime: splitToArray("18446744069414584319", 64, 8), - } - - console.log(input); - - const witness = await circuit.calculateWitness (input, true); - - - console.log({out: splitToArray(8, 64, 8)}); - - await circuit.assertOut(witness, {out: splitToArray(8, 64, 8)}); - }); -}); - diff --git a/test/circuits/montgomery_reduction.circom b/test/circuits/montgomery_reduction.circom index bd02283..fa1884e 100644 --- a/test/circuits/montgomery_reduction.circom +++ b/test/circuits/montgomery_reduction.circom @@ -1,3 +1,3 @@ include "../../circuits/montgomery_reduction.circom" -component main = Montgomery(64, 8); +component main = Montgomery(64, 32); diff --git a/test/montgomery_reduction.js b/test/montgomery_reduction.js new file mode 100644 index 0000000..9c1dc78 --- /dev/null +++ b/test/montgomery_reduction.js @@ -0,0 +1,87 @@ +const path = require("path"); + +const bigInt = require("big-integer"); +const Scalar = require("ffjavascript").Scalar; +const tester = require("circom").tester; + +function print(circuit, w, s) { + console.log(s + ": " + w[circuit.getSignalIdx(s)]); +} + +function splitToArray(x, w, n) { + let t = bigInt(x); + w = bigInt(w); + n = bigInt(n); + var words = new Array(w); + for (let i = 0; i < n; ++i) { + // words[`${name}[${i}]`] = `${t.mod(bigInt(2).pow(w))}`; + words[i] = `${t.mod(bigInt(2).pow(w))}`; + t = t.divide(bigInt(2).pow(w)); + } + if (!t.isZero()) { + throw `Number ${x} does not fit in ${w * n} bits`; + } + + let end_index = n - 1; + for (let i = n - 1; i >= 0; i--) { + if (words[i] == '0') { + continue; + } + + words[end_index] = words[i]; + words[i] = '0'; + end_index--; + } + + return words; +} + +describe("montgomery reduction 64bits/32words", function () { + + this.timeout(100000); + + let circuit; + before(async () => { + circuit = await tester(path.join(__dirname, "circuits", "montgomery_reduction.circom")); + }); + + it("Mod: 2435875175126190479447740508185965837690552500527637822603658699938581184513", async () => { + const input = { + x: splitToArray(bigInt("100"), 64, 32), + y: splitToArray(bigInt("100"), 64, 32), + // 52656145834278439889366339653259878764854242728404374413724460883 + modulus: splitToArray(bigInt("52435875175126190479447740508185965837690552500527637822603658699938581184513"), 64, 32), + monty_prime: splitToArray("18446744069414584319", 64, 32), + } + + var testCases = [{ + description: "one word", + input: { + x: splitToArray(bigInt("100"), 64, 32), + y: splitToArray(bigInt("100"), 64, 32), + // 52656145834278439889366339653259878764854242728404374413724460883 + modulus: splitToArray(bigInt("52435875175126190479447740508185965837690552500527637822603658699938581184513"), 64, 32), + monty_prime: splitToArray("18446744069414584319", 64, 32), + }, + output: { out: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10000, 0, 0] }, + },{ + description: "two word", + input: { + x: splitToArray(bigInt("184467440737095516161561654"), 64, 32), + y: splitToArray(bigInt("184467440737095516161561654"), 64, 32), + // 52656145834278439889366339653259878764854242728404374413724460883 + modulus: splitToArray(bigInt("52435875175126190479447740508185965837690552500527637822603658699938581184513"), 64, 32), + monty_prime: splitToArray("18446744069414584319", 64, 32), + }, + output: { out: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2438763215716, 31233080000000, 100000000000000, 0, 0] }, + } + ] + + for (var i = 0; i < testCases.length; i++) { + const witness = await circuit.calculateWitness(testCases[i].input, true); + + await circuit.assertOut(witness, testCases[i].output); + } + }); +}); + From 5dc95390a773132b95ff0ccafec3e2f7f0226ee3 Mon Sep 17 00:00:00 2001 From: jacksoom Date: Sun, 8 Aug 2021 12:08:21 +0800 Subject: [PATCH 04/15] feat(mont alg): add montgomery algorithm --- circom-bigint | 1 - circuits/montgomery_reduction.circom | 160 +++++++++++++++++++--- test/circuits/montgomery_reduction.circom | 2 +- test/circuits/normalize.circom | 3 + test/montgomery_reduction.js | 89 +++++------- test/normalize.js | 60 ++++++++ test/pow.js | 62 ++++----- test/util.js | 33 +++-- 8 files changed, 289 insertions(+), 121 deletions(-) delete mode 160000 circom-bigint create mode 100644 test/circuits/normalize.circom create mode 100644 test/normalize.js diff --git a/circom-bigint b/circom-bigint deleted file mode 160000 index caa9293..0000000 --- a/circom-bigint +++ /dev/null @@ -1 +0,0 @@ -Subproject commit caa92937adde30f96a3d5533f2844f364d30588c diff --git a/circuits/montgomery_reduction.circom b/circuits/montgomery_reduction.circom index 8f6bd6c..f9d7766 100644 --- a/circuits/montgomery_reduction.circom +++ b/circuits/montgomery_reduction.circom @@ -1,15 +1,31 @@ + +template mont_mul(w, nb) { + signal input a[nb]; + signal input b[nb]; + signal input modulus[nb]; + + signal input m0inv; + + signal output out [nb]; + + component montPr = mont_pr_cios(w, nb); + + + +} + // Montgomery modular multiplication. CIOS alg // Souce paper from https://www.microsoft.com/en-us/research/wp-content/uploads/1998/06/97Acar.pdf // (x * y) mod modulus -template Montgomery(w, nb) { +template mont_pr_cios(w, nb) { signal input x[nb]; signal input y[nb]; signal input modulus[nb]; - signal input monty_prime[nb]; + signal input m0inv; - signal output out[nb + 1]; + signal output out[nb]; var temps[nb + 2]; for (var i = 0; i < nb +2 ;i ++) { @@ -17,39 +33,143 @@ template Montgomery(w, nb) { } var temp = 0; - var carry = 0; // 0b1111111111111111111111111111111111111111111111111111111111111111 var lo_64_bit_var = 18446744073709551615; - for (var i = 0; i< nb; i++) { + for (var i = 0; i < nb; i++) { + var C = 0; for (var j = 0; j < nb; j++) { - temp = temps[j] + x[j] * y[i] + carry; - // t[j], carry = lo_bits, hi_bits + temp = x[j] * y[i] + temps[j] + C; + C = temp >> 64; temps[j] = temp & lo_64_bit_var; - carry = temp >> 64; } - temp = temps[nb] + carry; + temp = temps[nb] + C; - temps[nb] = temp & lo_64_bit_var; temps[nb + 1] = temp >> 64; + temps[nb] = temp & lo_64_bit_var; + + C = 0; - var m = (temps[0] * monty_prime[0]) % (1 << 64); - carry = m & lo_64_bit_var; + var q = (temps[0] * m0inv) % (1 << 64); + var temp = q * modulus[0] + temps[0]; - for (var k = 1; k < nb; k++) { - temp = temps[k] + m * modulus[k] + carry; - temps[k - 1] = temp & lo_64_bit_var; - carry = temp >> 64; + C = temp >> 64; + + for (var j = 1; j < nb; j++) { + temp = q * modulus[j] + temps[j] + C; + + C = temp >> 64; + temps[j - 1] = temp & lo_64_bit_var; } - temp = temps[nb] + carry; + temp = temps[nb] + C; temps[nb - 1] = temp & lo_64_bit_var; - temps[nb] = temp >> 64 + temps[nb + 1]; + temps[nb] = C + temps[nb + 1]; + } + + component normal = normalize(w, nb); + for (var i = 0; i< nb; i++) { + normal.a[i] <-- temps[i]; + normal.modulus[i] <-- modulus[i]; + } + + + for (var i = 0; i < nb; i++) { + out[i] <-- normal.out[i]; + } +} + +// a > modulus ? a - modulus : a; +// +template normalize(w, nb) { + signal input a[nb]; + signal input modulus[nb]; + + signal output out[nb]; + + // check a greater than modulus + var needSub = 2; + for (var i = nb - 1; i >= 0; i--) { + if(a[i] > modulus[i] && needSub == 2) { + needSub = 1; + } + + if (a[i] < modulus[i] && needSub == 2) { + needSub = 0; + } } + var borrow = 0; + var temp = 0; + + var t[nb]; + + if (needSub == 0) { + // out = a + for (var i = 0;i < nb; i++) { + out[i] <-- a[i]; + } + } else { + // out = a - m; + + for (var i = 0; i< nb; i++) { + temp = a[i]; + + if(borrow == 1) { + temp--; + } + + if (((temp == 0) && (modulus[i] > 0 || borrow == 1)) || temp < modulus[i]) { + borrow = 1; + temp += 1 << (w + 1); + } else { + borrow = 0; + } + + t[i] = (temp - modulus[i]) & 18446744073709551615; + } + + var last = nb - 1; + var sign = 0; - for (var i = 0; i < nb + 1; i++) { - temps[i] --> out[i]; + for (var i = nb - 1; i >= 0; i--) { + if (t[i] != 0 || sign != 0) { + t[last] = t[i]; + last --; + if (last != i) { + t[i] = 0; + } + + sign = 1; + } + } + + for (var i = 0; i< nb; i++) { + out[i] <-- t[i]; + } + } +} + +// return a - b +function sub(a, b, nb, w) { + var borrow = 0; + var temp = 0; + var out[nb]; + + for (var i = 0; i< nb; i++) { + temp = a[i]; + if (borrow == 1) { + temp--; + } + + if (((temp == 0) && (b[i] > 0 || borrow == 1)) || temp < b[i]) { + borrow = 1; + temp += 1 << (w + 1); + } + + out[i] = temp - b[i]; } + + return out; } diff --git a/test/circuits/montgomery_reduction.circom b/test/circuits/montgomery_reduction.circom index fa1884e..3f6c6ef 100644 --- a/test/circuits/montgomery_reduction.circom +++ b/test/circuits/montgomery_reduction.circom @@ -1,3 +1,3 @@ include "../../circuits/montgomery_reduction.circom" -component main = Montgomery(64, 32); +component main = mont_pr_cios(64, 4); diff --git a/test/circuits/normalize.circom b/test/circuits/normalize.circom new file mode 100644 index 0000000..7b9e97c --- /dev/null +++ b/test/circuits/normalize.circom @@ -0,0 +1,3 @@ +include "../../circuits/montgomery_reduction.circom" + +component main = normalize(64, 8); diff --git a/test/montgomery_reduction.js b/test/montgomery_reduction.js index 9c1dc78..cae75d8 100644 --- a/test/montgomery_reduction.js +++ b/test/montgomery_reduction.js @@ -4,40 +4,10 @@ const bigInt = require("big-integer"); const Scalar = require("ffjavascript").Scalar; const tester = require("circom").tester; -function print(circuit, w, s) { - console.log(s + ": " + w[circuit.getSignalIdx(s)]); -} +const { splitToArray } = require("./util.js"); -function splitToArray(x, w, n) { - let t = bigInt(x); - w = bigInt(w); - n = bigInt(n); - var words = new Array(w); - for (let i = 0; i < n; ++i) { - // words[`${name}[${i}]`] = `${t.mod(bigInt(2).pow(w))}`; - words[i] = `${t.mod(bigInt(2).pow(w))}`; - t = t.divide(bigInt(2).pow(w)); - } - if (!t.isZero()) { - throw `Number ${x} does not fit in ${w * n} bits`; - } - - let end_index = n - 1; - for (let i = n - 1; i >= 0; i--) { - if (words[i] == '0') { - continue; - } - - words[end_index] = words[i]; - words[i] = '0'; - end_index--; - } - - return words; -} - -describe("montgomery reduction 64bits/32words", function () { +describe("montgomery reduction 64bits/4words", function () { this.timeout(100000); let circuit; @@ -45,41 +15,48 @@ describe("montgomery reduction 64bits/32words", function () { circuit = await tester(path.join(__dirname, "circuits", "montgomery_reduction.circom")); }); - it("Mod: 2435875175126190479447740508185965837690552500527637822603658699938581184513", async () => { - const input = { - x: splitToArray(bigInt("100"), 64, 32), - y: splitToArray(bigInt("100"), 64, 32), - // 52656145834278439889366339653259878764854242728404374413724460883 - modulus: splitToArray(bigInt("52435875175126190479447740508185965837690552500527637822603658699938581184513"), 64, 32), - monty_prime: splitToArray("18446744069414584319", 64, 32), - } + it("64bits/4words. and mod = 52435875175126190479447740508185965837690552500527637822603658699938581184513", async () => { + + const modulus = splitToArray(bigInt("52435875175126190479447740508185965837690552500527637822603658699938581184513"), 64, 4); + const m0inv = "18446744069414584319"; + var testCases = [{ description: "one word", input: { - x: splitToArray(bigInt("100"), 64, 32), - y: splitToArray(bigInt("100"), 64, 32), - // 52656145834278439889366339653259878764854242728404374413724460883 - modulus: splitToArray(bigInt("52435875175126190479447740508185965837690552500527637822603658699938581184513"), 64, 32), - monty_prime: splitToArray("18446744069414584319", 64, 32), + x: splitToArray(bigInt("1844674407370955161600"), 64, 4), + y: splitToArray(bigInt("100"), 64, 4), + // 52435875175126190479447740508185965837690552500527637822603658699938581184513 + modulus: modulus, + m0inv: "18446744069414584319", + }, + output: { out: [0, 0, 10000, 0] }, + }, { + description: "two words", + input: { + x: splitToArray(bigInt("184467440737095516161561654"), 64, 4), + y: splitToArray(bigInt("184467440737095516161561654"), 64, 4), + // 52435875175126190479447740508185965837690552500527637822603658699938581184513 + modulus: modulus, + m0inv: m0inv, }, - output: { out: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10000, 0, 0] }, - },{ - description: "two word", + output: { out: [2438763215716, 31233080000000, 100000000000000, 0] }, + }, { + description: "Four words", input: { - x: splitToArray(bigInt("184467440737095516161561654"), 64, 32), - y: splitToArray(bigInt("184467440737095516161561654"), 64, 32), - // 52656145834278439889366339653259878764854242728404374413724460883 - modulus: splitToArray(bigInt("52435875175126190479447740508185965837690552500527637822603658699938581184513"), 64, 32), - monty_prime: splitToArray("18446744069414584319", 64, 32), + x: ['9366702579560100036', '3153357315881433552', '1550162754830709279', '3363521531482743643'], + y: splitToArray(bigInt("12389174593798789739243342131821798678432796312321"), 64, 4), + // 52435875175126190479447740508185965837690552500527637822603658699938581184513 + modulus: modulus, + m0inv: m0inv, }, - output: { out: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2438763215716, 31233080000000, 100000000000000, 0, 0] }, + output: { out: ['11877590625878374308', '91176932193565308', '14825753355501141940', '4643043795916575606'] }, } - ] + ] + for (var i = 0; i < testCases.length; i++) { const witness = await circuit.calculateWitness(testCases[i].input, true); - await circuit.assertOut(witness, testCases[i].output); } }); diff --git a/test/normalize.js b/test/normalize.js new file mode 100644 index 0000000..1c02eda --- /dev/null +++ b/test/normalize.js @@ -0,0 +1,60 @@ +const path = require("path"); + +const bigInt = require("big-integer"); +const Scalar = require("ffjavascript").Scalar; +const tester = require("circom").tester; + +const { splitToArray } = require("./util.js"); + +function print(circuit, w, s) { + console.log(s + ": " + w[circuit.getSignalIdx(s)]); +} + + +describe("normalize template test. a > modulus ? a - modulus : a", function () { + + this.timeout(100000); + + let circuit; + before(async () => { + circuit = await tester(path.join(__dirname, "circuits", "normalize.circom")); + }); + + it("normalize template test", async () => { + var testCases = [{ + description: "One word. No need for sub", + input: { + a: splitToArray(bigInt("4"), 64, 8), + modulus: splitToArray(bigInt("5"), 64, 8), + }, + output: { out: [0, 0, 0, 0, 0, 0, 0, 4] }, + }, { + description: "Two word. Need for sub", + input: { + a: splitToArray(bigInt("45613215616541654654"), 64, 8), + modulus: splitToArray(bigInt("45613215616541654651"), 64, 8), + }, + output: { out: [0, 0, 0, 0, 0, 0, 0, 3] }, + }, { + description: "Three word. Need for sub", + input: { + a: splitToArray(bigInt("35165413564654612131346546516513054615640"), 64, 8), + modulus: splitToArray(bigInt("35165413564654612131346546516513054615636"), 64, 8), + }, + output: { out: [0, 0, 0, 0, 0, 0, 0, 4] }, + }, { + description: "Eight word. Need for sub", + input: { + a: splitToArray(bigInt("3516541356445124321613556156315611321654561563153615613213156315615615612316156123132123132165156465132165465465411651656546126513054615644"), 64, 8), + modulus: splitToArray(bigInt("3516541356445124321613556156311611321654561563153615613213156315615615612316156123132123132165156465132165465465411651656546126513054615640"), 64, 8), + }, + output: { out: [0, 0, 4, '10967461361298178048', '9489550332887426220', '11036400390711386231', '16220791373695979585', '1872670541876'] }, + } + ] + + for (var i = 0; i < testCases.length; i++) { + const witness = await circuit.calculateWitness(testCases[i].input, true); + await circuit.assertOut(witness, testCases[i].output); + } + }); +}); \ No newline at end of file diff --git a/test/pow.js b/test/pow.js index bde1f43..22f8130 100644 --- a/test/pow.js +++ b/test/pow.js @@ -1,41 +1,41 @@ -const chai = require("chai"); -const path = require("path"); -const snarkjs = require("snarkjs"); -const bigInt = require("big-integer"); -const assert = chai.assert; +// const chai = require("chai"); +// const path = require("path"); +// const snarkjs = require("snarkjs"); +// const bigInt = require("big-integer"); +// const assert = chai.assert; -const compiler = require("circom"); +// const compiler = require("circom"); -const { splitToWords, assertWitnessHas } = require("./util.js"); +// const { splitToWords, assertWitnessHas } = require("./util.js"); -chai.should(); +// chai.should(); -describe("PowerMod", () => { +// describe("PowerMod", () => { - var powmod_2048_256; - //var powmod_2048_256; - var p8 = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); +// var powmod_2048_256; +// //var powmod_2048_256; +// var p8 = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); - before(async () => { - let cirDef = await compiler(path.join(__dirname, "circuits", "pow_mod.circom")); - powmod_2048_256 = new snarkjs.Circuit(cirDef); - }); +// before(async () => { +// let cirDef = await compiler(path.join(__dirname, "circuits", "pow_mod.circom")); +// powmod_2048_256 = new snarkjs.Circuit(cirDef); +// }); - it("should compute powmod_2048_256) (64 bits, 32 words in base, exp = 65537)", () => { - const m = p8; - const b = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); - const e = bigInt(65537); - const input = Object.assign({}, - splitToWords(b, 64, 32, "base"), - splitToWords(e, 64, 32, "exp"), - splitToWords(m, 64, 32, "modulus"), - ); +// it("should compute powmod_2048_256) (64 bits, 32 words in base, exp = 65537)", () => { +// const m = p8; +// const b = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); +// const e = bigInt(65537); +// const input = Object.assign({}, +// splitToWords(b, 64, 32, "base"), +// splitToWords(e, 64, 32, "exp"), +// splitToWords(m, 64, 32, "modulus"), +// ); - const witness = powmod_2048_256.calculateWitness(input); - const expected = b.modPow(e, m); - // console.log("expected----->", expected.toString()); - assertWitnessHas(powmod_2048_256, witness, "out", expected, 64, 32); - }); -}); +// const witness = powmod_2048_256.calculateWitness(input); +// const expected = b.modPow(e, m); +// // console.log("expected----->", expected.toString()); +// assertWitnessHas(powmod_2048_256, witness, "out", expected, 64, 32); +// }); +// }); diff --git a/test/util.js b/test/util.js index 98843da..5d2e53e 100644 --- a/test/util.js +++ b/test/util.js @@ -4,29 +4,39 @@ const snarkjs = require("snarkjs"); const assert = chai.assert; -function splitToWords(x, w, n, name) { +function splitToArray(x, w, n) { let t = bigInt(x); w = bigInt(w); n = bigInt(n); - const words = {}; + var words = new Array(w); for (let i = 0; i < n; ++i) { - words[`${name}[${i}]`] = `${t.mod(bigInt(2).pow(w))}`; + // words[`${name}[${i}]`] = `${t.mod(bigInt(2).pow(w))}`; + words[i] = `${t.mod(bigInt(2).pow(w))}`; t = t.divide(bigInt(2).pow(w)); } if (!t.isZero()) { throw `Number ${x} does not fit in ${w * n} bits`; } - return words; -} -function assertWitnessHas(circuit, witness, name, x, w, b) { - let words = splitToWords(x, w, b, `main.${name}`); - for (let [signal, value] of Object.entries(words)) { - assert(witness[circuit.signalName2Idx[signal]].equals(snarkjs.bigInt(value)), - `${signal} expected to be ${(snarkjs.bigInt(value))} but was ${witness[circuit.signalName2Idx[signal]]}`); + let end_index = n - 1; + for (let i = n - 1; i >= 0; i--) { + if (words[i] == '0') { + continue; + } + + words[end_index] = words[i]; + if (end_index != i) { + words[i] = '0'; + } + + end_index--; } + + return words; } + + const extractExpr = (f) => { const src = f.toString(); const re = /.*=> *\((.*)\)/; @@ -35,6 +45,5 @@ const extractExpr = (f) => { module.exports = { extractExpr, - assertWitnessHas, - splitToWords, + splitToArray, }; From 79b9fe041ef4d369e7aa936f9797b869dec9b67b Mon Sep 17 00:00:00 2001 From: jacksoom Date: Sun, 8 Aug 2021 14:35:21 +0800 Subject: [PATCH 05/15] simple fix --- circuits/montgomery_reduction.circom | 11 ++++++++++- test/circuits/montgomery_reduction.circom | 2 +- test/circuits/normalize.circom | 2 +- test/montgomery_reduction.js | 2 +- 4 files changed, 13 insertions(+), 4 deletions(-) diff --git a/circuits/montgomery_reduction.circom b/circuits/montgomery_reduction.circom index f9d7766..8aeba1b 100644 --- a/circuits/montgomery_reduction.circom +++ b/circuits/montgomery_reduction.circom @@ -1,7 +1,7 @@ template mont_mul(w, nb) { - signal input a[nb]; + signal input pre_compute_a[nb]; signal input b[nb]; signal input modulus[nb]; @@ -11,8 +11,17 @@ template mont_mul(w, nb) { component montPr = mont_pr_cios(w, nb); + for (var i = 0; i < nb; i++) { + montPr.x[i] <-- pre_compute_a[i]; + montPr.y[i] <-- b[i]; + montPr.modulus[i] <-- modulus[i]; + montPr.m0inv <-- m0inv; + } + for (var i = 0; i < nb; i++) { + out[i] <-- montPr.out[i]; + } } // Montgomery modular multiplication. CIOS alg diff --git a/test/circuits/montgomery_reduction.circom b/test/circuits/montgomery_reduction.circom index 3f6c6ef..273dcd4 100644 --- a/test/circuits/montgomery_reduction.circom +++ b/test/circuits/montgomery_reduction.circom @@ -1,3 +1,3 @@ -include "../../circuits/montgomery_reduction.circom" +include "../../circuits/montgomery.circom" component main = mont_pr_cios(64, 4); diff --git a/test/circuits/normalize.circom b/test/circuits/normalize.circom index 7b9e97c..21cffdb 100644 --- a/test/circuits/normalize.circom +++ b/test/circuits/normalize.circom @@ -1,3 +1,3 @@ -include "../../circuits/montgomery_reduction.circom" +include "../../circuits/montgomery.circom" component main = normalize(64, 8); diff --git a/test/montgomery_reduction.js b/test/montgomery_reduction.js index cae75d8..4920c48 100644 --- a/test/montgomery_reduction.js +++ b/test/montgomery_reduction.js @@ -12,7 +12,7 @@ describe("montgomery reduction 64bits/4words", function () { let circuit; before(async () => { - circuit = await tester(path.join(__dirname, "circuits", "montgomery_reduction.circom")); + circuit = await tester(path.join(__dirname, "circuits", "montgomery.circom")); }); it("64bits/4words. and mod = 52435875175126190479447740508185965837690552500527637822603658699938581184513", async () => { From 1cb86fd6ab93693d86922105e7c76fdc4bc00284 Mon Sep 17 00:00:00 2001 From: jacksoom Date: Sun, 8 Aug 2021 14:38:56 +0800 Subject: [PATCH 06/15] rename circom file --- circuits/{montgomery_reduction.circom => montgomery.circom} | 0 test/circuits/{montgomery_reduction.circom => montgomery.circom} | 0 2 files changed, 0 insertions(+), 0 deletions(-) rename circuits/{montgomery_reduction.circom => montgomery.circom} (100%) rename test/circuits/{montgomery_reduction.circom => montgomery.circom} (100%) diff --git a/circuits/montgomery_reduction.circom b/circuits/montgomery.circom similarity index 100% rename from circuits/montgomery_reduction.circom rename to circuits/montgomery.circom diff --git a/test/circuits/montgomery_reduction.circom b/test/circuits/montgomery.circom similarity index 100% rename from test/circuits/montgomery_reduction.circom rename to test/circuits/montgomery.circom From 19167c4fed3fb86a693bc3eec8f4f8861283679f Mon Sep 17 00:00:00 2001 From: jacksoom Date: Sun, 8 Aug 2021 15:15:16 +0800 Subject: [PATCH 07/15] add signle comment --- circuits/montgomery.circom | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/circuits/montgomery.circom b/circuits/montgomery.circom index 8aeba1b..0d614f4 100644 --- a/circuits/montgomery.circom +++ b/circuits/montgomery.circom @@ -1,5 +1,7 @@ - +// montrygomery production alg. Currently +// w = 64 +// nb is the length of the number input template mont_mul(w, nb) { signal input pre_compute_a[nb]; signal input b[nb]; From 6f6427aa0ba72d4a1b17e4433c4da6ea9ddc6443 Mon Sep 17 00:00:00 2001 From: jacksoom Date: Sun, 15 Aug 2021 20:23:08 +0800 Subject: [PATCH 08/15] feat(mont exponent): add mont exp alg --- circuits/mont_exp.circom | 67 ++++++++ circuits/montgomery.circom | 6 +- test/circuits/mont_exp.circom | 3 + ...tgomery.circom => montgomery_64_32.circom} | 2 +- test/circuits/montgomery_64_4.circom | 3 + test/mont_exp.js | 55 ++++++ test/montgomery_reduction.js | 3 +- test/montgomery_reduction_64_32.js | 90 ++++++++++ test/montgomery_reduction_64_4.js | 63 +++++++ test/rsa_verify.js | 162 +++++++++--------- 10 files changed, 366 insertions(+), 88 deletions(-) create mode 100644 circuits/mont_exp.circom create mode 100644 test/circuits/mont_exp.circom rename test/circuits/{montgomery.circom => montgomery_64_32.circom} (53%) create mode 100644 test/circuits/montgomery_64_4.circom create mode 100644 test/mont_exp.js create mode 100644 test/montgomery_reduction_64_32.js create mode 100644 test/montgomery_reduction_64_4.js diff --git a/circuits/mont_exp.circom b/circuits/mont_exp.circom new file mode 100644 index 0000000..29fdfd0 --- /dev/null +++ b/circuits/mont_exp.circom @@ -0,0 +1,67 @@ +include "./montgomery.circom" +// r = 2 ^ (n * w). n is the modulus word count +// p_a = a * r mod modulus +// p_A = r mod modulus +// output A = (a ^ e) mod(p) +template mont_exp(w, nb) { + signal input p_a[nb]; + signal input p_A[nb]; + + signal input exp; + signal input m0inv; + signal input modulus[nb]; + + + signal output out[nb]; + + exp === 65537; + + component muls[19]; + for (var i = 0; i< 19; i++) { + muls[i] = mont_cios(w, nb); + + muls[i].m0inv <-- m0inv; + + for (var j = 0; j < nb; j++) { + muls[i].modulus[j] <-- modulus[j]; + } + + if (i == 0) { + for (var j = 0; j < nb; j++) { + muls[i].x[j] <-- p_A[j]; + muls[i].y[j] <-- p_A[j]; + } + } else if (i == 1 || i == 18) { + for (var j = 0; j < nb; j++) { + muls[i].x[j] <-- muls[i - 1].out[j]; + muls[i].y[j] <-- p_a[j]; + } + } else { + for (var j = 0; j < nb; j++) { + muls[i].x[j] <-- muls[i - 1].out[j]; + muls[i].y[j] <-- muls[i - 1].out[j]; + } + } + } + + // A <- MontPr(p_A, 1); + component result_mul = mont_cios(w, nb); + + result_mul.m0inv <-- m0inv; + + for (var j = 0; j < nb; j++) { + result_mul.modulus[j] <-- modulus[j]; + result_mul.x[j] <-- muls[18].out[j]; + + if (j == 0) { + result_mul.y[j] <-- 1; + }else { + result_mul.y[j] <-- 0; + } + } + + + for (var i = 0; i< nb; i++) { + out[i] <-- result_mul.out[i]; + } +} diff --git a/circuits/montgomery.circom b/circuits/montgomery.circom index 0d614f4..463fc79 100644 --- a/circuits/montgomery.circom +++ b/circuits/montgomery.circom @@ -11,7 +11,7 @@ template mont_mul(w, nb) { signal output out [nb]; - component montPr = mont_pr_cios(w, nb); + component montPr = mont_cios(w, nb); for (var i = 0; i < nb; i++) { montPr.x[i] <-- pre_compute_a[i]; @@ -29,7 +29,7 @@ template mont_mul(w, nb) { // Montgomery modular multiplication. CIOS alg // Souce paper from https://www.microsoft.com/en-us/research/wp-content/uploads/1998/06/97Acar.pdf // (x * y) mod modulus -template mont_pr_cios(w, nb) { +template mont_cios(w, nb) { signal input x[nb]; signal input y[nb]; signal input modulus[nb]; @@ -92,7 +92,6 @@ template mont_pr_cios(w, nb) { } // a > modulus ? a - modulus : a; -// template normalize(w, nb) { signal input a[nb]; signal input modulus[nb]; @@ -123,7 +122,6 @@ template normalize(w, nb) { } } else { // out = a - m; - for (var i = 0; i< nb; i++) { temp = a[i]; diff --git a/test/circuits/mont_exp.circom b/test/circuits/mont_exp.circom new file mode 100644 index 0000000..7407681 --- /dev/null +++ b/test/circuits/mont_exp.circom @@ -0,0 +1,3 @@ +include "../../circuits/mont_exp.circom" + +component main = mont_exp(64, 32); diff --git a/test/circuits/montgomery.circom b/test/circuits/montgomery_64_32.circom similarity index 53% rename from test/circuits/montgomery.circom rename to test/circuits/montgomery_64_32.circom index 273dcd4..b939f2f 100644 --- a/test/circuits/montgomery.circom +++ b/test/circuits/montgomery_64_32.circom @@ -1,3 +1,3 @@ include "../../circuits/montgomery.circom" -component main = mont_pr_cios(64, 4); +component main = mont_cios(64, 32); diff --git a/test/circuits/montgomery_64_4.circom b/test/circuits/montgomery_64_4.circom new file mode 100644 index 0000000..4fd898f --- /dev/null +++ b/test/circuits/montgomery_64_4.circom @@ -0,0 +1,3 @@ +include "../../circuits/montgomery.circom" + +component main = mont_cios(64, 4); diff --git a/test/mont_exp.js b/test/mont_exp.js new file mode 100644 index 0000000..c9438da --- /dev/null +++ b/test/mont_exp.js @@ -0,0 +1,55 @@ +const path = require("path"); + +const bigInt = require("big-integer"); +const Scalar = require("ffjavascript").Scalar; +const tester = require("circom").tester; + +const { splitToArray } = require("./util.js"); + + +describe("montgomery exponent 64bits/4words", function () { + this.timeout(100000); + + let circuit; + before(async () => { + circuit = await tester(path.join(__dirname, "circuits", "mont_exp.circom")); + }); + + it("64bits/4words. and mod = 52435875175126190479447740508185965837690552500527637822603658699938581184513", async () => { + + const modulus = bigInt("24226501697440012621102249466312043787685293040734225606346036389705515508545746221669035424138747582133889500686654172873671086178893587422987328751464627501601101326475761646014534358699943642495332701081302954020983110372109611581202820849485662540890985814355975252780310958088652613376767040069489530039075302709233494829280591680666351811024913107949144932224439129715181798714328219977771472462901856297952813239115577652450722815852332547886777292613005505949100406231716599634852632308325816916535875123863510650526931916871614411907700873376659841257216885666098127478325534982891697988739616416855214839339"); + + const m0inv = "4736324870124914557"; + + const sign = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); + + // p_A = (2 ** (64 * 32)) % modulus + const p_A = bigInt("8090504373870994679612627222357908172758809628981258425784309037819139630322144671528165987384165881554828460235243846620448472971597333672100823634983655619029776040825234445735663391689708464300724937302764614255809108270510144580635273488990507929690660037680329790107264933452413195230785359054440855482839030680434847591404383105898217683831262927377177125853366529615844393994132094172487120401275260427990790479346279705147628336449313356516920320620281725278025278479103610090304469418605506553142667456793187284519065351481384226307824293012777494286385249767131477166992943622060450204816237194204381391317"); + + // p_a = (a * r) % modulus + const p_a = bigInt("19072154410336807139418696976260212968540675922546765752736826145996869655756622548873347455947248021050921538311171789715523470247724251557601058125103625700941761034646698858071310182565269768981168519584711995302991904285228697391419713388819104994438114806716920075484924844137359380134009667510391269169076279760491579238026910153675786149676670940528964362751766341740256137008228081948558082219709238817789460567174381895573690274674295098414261384354408417638073989695885913898217149419056478104428576834037267113663842145482274989462614945861102288293269483256693676536058880107741774817376564564751474668870"); + + var testCases = [{ + description: "calc powerMod", + input: { + // 1844674407370955161600 + p_a: splitToArray(p_a, 64, 32), + p_A: splitToArray(p_A, 64, 32), + + exp: 65537, + modulus: splitToArray(modulus, 64, 32), + m0inv: m0inv, + }, + output: { out: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] }, + }]; + + + for (var i = 0; i < testCases.length; i++) { + const witness = await circuit.calculateWitness(testCases[i].input, true); + + await circuit.assertOut(witness, testCases[i].output); + } + }); +}); + + diff --git a/test/montgomery_reduction.js b/test/montgomery_reduction.js index 4920c48..fdff4d5 100644 --- a/test/montgomery_reduction.js +++ b/test/montgomery_reduction.js @@ -12,7 +12,7 @@ describe("montgomery reduction 64bits/4words", function () { let circuit; before(async () => { - circuit = await tester(path.join(__dirname, "circuits", "montgomery.circom")); + circuit = await tester(path.join(__dirname, "circuits", "montgomery_64_4.circom")); }); it("64bits/4words. and mod = 52435875175126190479447740508185965837690552500527637822603658699938581184513", async () => { @@ -61,4 +61,3 @@ describe("montgomery reduction 64bits/4words", function () { } }); }); - diff --git a/test/montgomery_reduction_64_32.js b/test/montgomery_reduction_64_32.js new file mode 100644 index 0000000..1a6a25b --- /dev/null +++ b/test/montgomery_reduction_64_32.js @@ -0,0 +1,90 @@ +const path = require("path"); + +const bigInt = require("big-integer"); +const Scalar = require("ffjavascript").Scalar; +const tester = require("circom").tester; + +const { splitToArray } = require("./util.js"); + + +describe("montgomery reduction 64bits/32words", function () { + this.timeout(100000); + + let circuit; + before(async () => { + circuit = await tester(path.join(__dirname, "circuits", "montgomery_64_32.circom")); + }); + + it("64bits/4words. and mod = 52435875175126190479447740508185965837690552500527637822603658699938581184513", async () => { + + const modulus = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); + + const m0inv = "12890617734997456953"; + + const sign = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); + + // p_A = (2 ** (64 * 32)) % modulus + const p_A = bigInt("8090504373870994679612627222357908172758809628981258425784309037819139630322144671528165987384165881554828460235243846620448472971597333672100823634983655619029776040825234445735663391689708464300724937302764614255809108270510144580635273488990507929690660037680329790107264933452413195230785359054440855482839030680434847591404383105898217683831262927377177125853366529615844393994132094172487120401275260427990790479346279705147628336449313356516920320620281725278025278479103610090304469418605506553142667456793187284519065351481384226307824293012777494286385249767131477166992943622060450204816237194204381391317"); + + const r = bigInt("32317006071311007300714876688669951960444102669715484032130345427524655138867890893197201411522913463688717960921898019494119559150490921095088152386448283120630877367300996091750197750389652106796057638384067568276792218642619756161838094338476170470581645852036305042887575891541065808607552399123930385521914333389668342420684974786564569494856176035326322058077805659331026192708460314150258592864177116725943603718461857357598351152301645904403697613233287231227125684710820209725157101726931323469678542580656697935045997268352998638215525166389437335543602135433229604645318478604952148193555853611059596230656"); + // p_a = (a * r) % modulus + const p_a = sign.multiply(r).mod(modulus); + + + const result = sign.multiply(sign).mod(modulus); + + // console.log("result", splitToArray(result, 64, 32)); + + var testCases = [{ + description: "one word", + input: { + x: splitToArray(p_a, 64, 32), + y: splitToArray(sign, 64, 32), + modulus: splitToArray(modulus, 64, 32), + m0inv: m0inv, + }, + output: { + out: [ + "6726338490320059920", + "10912188918279059842", + "9480684547274909370", + "17957855819450938343", + "14472935173278472155", + "7079099867353219214", + "16449430926296343172", + "5104880238183543706", + "10665479437761628207", + "5855523454381758411", + "10461162232393809384", + "8506503615129027292", + "713958493375598634", + "6870643563889906329", + "6496643502438963194", + "3333526337816518494", + "7059814241034669637", + "11046528448239496056", + "8821061847720768545", + "8804814027843795770", + "9550990298891609521", + "4546832636732460115", + "11005916837189288046", + "6747247992486122322", + "8062076261952398748", + "11274417876012308159", + "12082695046704314515", + "9977902230884319566", + "8117196317861485583", + "6870310691445046553", + "15178250919948156997", + "13075022197409122935"] + }, + }] + + + for (var i = 0; i < testCases.length; i++) { + const witness = await circuit.calculateWitness(testCases[i].input, true); + + await circuit.assertOut(witness, testCases[i].output); + } + }); +}); diff --git a/test/montgomery_reduction_64_4.js b/test/montgomery_reduction_64_4.js new file mode 100644 index 0000000..1faa5e3 --- /dev/null +++ b/test/montgomery_reduction_64_4.js @@ -0,0 +1,63 @@ +const path = require("path"); + +const bigInt = require("big-integer"); +const Scalar = require("ffjavascript").Scalar; +const tester = require("circom").tester; + +const { splitToArray } = require("./util.js"); + + +describe("montgomery reduction 64bits/4words", function () { + this.timeout(100000); + + let circuit; + before(async () => { + circuit = await tester(path.join(__dirname, "circuits", "montgomery_64_4.circom")); + }); + + it("64bits/4words. and mod = 52435875175126190479447740508185965837690552500527637822603658699938581184513", async () => { + + const modulus = splitToArray(bigInt("52435875175126190479447740508185965837690552500527637822603658699938581184513"), 64, 4); + const m0inv = "18446744069414584319"; + + + var testCases = [{ + description: "one word", + input: { + x: splitToArray(bigInt("1844674407370955161600"), 64, 4), + y: splitToArray(bigInt("100"), 64, 4), + // 52435875175126190479447740508185965837690552500527637822603658699938581184513 + modulus: modulus, + m0inv: m0inv, + }, + output: { out: [0, 0, 10000, 0] }, + }, { + description: "two words", + input: { + x: splitToArray(bigInt("184467440737095516161561654"), 64, 4), + y: splitToArray(bigInt("184467440737095516161561654"), 64, 4), + // 52435875175126190479447740508185965837690552500527637822603658699938581184513 + modulus: modulus, + m0inv: m0inv, + }, + output: { out: [2438763215716, 31233080000000, 100000000000000, 0] }, + }, { + description: "Four words", + input: { + x: ['9366702579560100036', '3153357315881433552', '1550162754830709279', '3363521531482743643'], + y: splitToArray(bigInt("12389174593798789739243342131821798678432796312321"), 64, 4), + // 52435875175126190479447740508185965837690552500527637822603658699938581184513 + modulus: modulus, + m0inv: m0inv, + }, + output: { out: ['11877590625878374308', '91176932193565308', '14825753355501141940', '4643043795916575606'] }, + } + ] + + + for (var i = 0; i < testCases.length; i++) { + const witness = await circuit.calculateWitness(testCases[i].input, true); + await circuit.assertOut(witness, testCases[i].output); + } + }); +}); \ No newline at end of file diff --git a/test/rsa_verify.js b/test/rsa_verify.js index b283812..b0b8f7f 100644 --- a/test/rsa_verify.js +++ b/test/rsa_verify.js @@ -1,81 +1,81 @@ -const chai = require("chai"); -const path = require("path"); -const snarkjs = require("snarkjs"); -const bigInt = require("big-integer"); -const assert = chai.assert; - -const compiler = require("circom"); - -const { splitToWords, assertWitnessHas } = require("./util.js"); - -chai.should(); - -describe("Rsa pkcs1v15 verify", () => { - var rsa_pkvs1v15_circuit; - - before(async () => { - let cirDef = await compiler(path.join(__dirname, "circuits", "rsa_verify.circom")); - rsa_pkvs1v15_circuit = new snarkjs.Circuit(cirDef); - }); - - - it("2048 bits public key. correct sign. 1", () => { - // public key params. decimal - const modulus = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); - const exp = bigInt(65537); - // signature. decimal - const sign = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); - // hashed data. decimal - const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); - - const input = Object.assign({}, - splitToWords(sign, 64, 32, "sign"), - splitToWords(exp, 64, 32, "exp"), - splitToWords(modulus, 64, 32, "modulus"), - splitToWords(hashed, 64, 4, "hashed"), - ); - - const witness = rsa_pkvs1v15_circuit.calculateWitness(input); - }); - - it("2048 bits public key. correct sign. 2", () => { - // public key params. decimal - const modulus = bigInt("24226501697440012621102249466312043787685293040734225606346036389705515508545746221669035424138747582133889500686654172873671086178893587422987328751464627501601101326475761646014534358699943642495332701081302954020983110372109611581202820849485662540890985814355975252780310958088652613376767040069489530039075302709233494829280591680666351811024913107949144932224439129715181798714328219977771472462901856297952813239115577652450722815852332547886777292613005505949100406231716599634852632308325816916535875123863510650526931916871614411907700873376659841257216885666098127478325534982891697988739616416855214839339"); - const exp = bigInt(65537); - // signature. decimal - const sign = bigInt("18928545496959757512579438348223103860103247450097569223971486743312798156950374943336714741350742176674694049986481729075548718599712271054643150030165230392897481507710187505775911256946250999396358633095137650326818007610162375520522758780751710735664264200260854016867498935206556916247099180950775474524799944404833222133011134000549939512938205188018503377612813102061504146765520561811620128786062447005833886367575841545493555268747671930923697279690399480501746857825917608323993022396398648205737336204493624060285359455268389160802763426461171262704764369336704988874821898000892148693988241020931055723252"); - // hashed data. decimal - const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); - - const input = Object.assign({}, - splitToWords(sign, 64, 32, "sign"), - splitToWords(exp, 64, 32, "exp"), - splitToWords(modulus, 64, 32, "modulus"), - splitToWords(hashed, 64, 4, "hashed"), - ); - - const witness = rsa_pkvs1v15_circuit.calculateWitness(input); - }); - - it("2048 bits public key. uncorrect sign. ", () => { - // public key params. decimal - const modulus = bigInt("24226501697440012621102249466312043787685293040734225606346036389705515508545746221669035424138747582133889500686654172873671086178893587422987328751464627501601101326475761646014534358699943642495332701081302954020983110372109611581202820849485662540890985814355975252780310958088652613376767040069489530039075302709233494829280591680666351811024913107949144932224439129715181798714328219977771472462901856297952813239115577652450722815852332547886777292613005505949100406231716599634852632308325816916535875123863510650526931916871614411907700873376659841257216885666098127478325534982891697988739616416855214839339"); - const exp = bigInt(65537); - // signature. decimal - const sign = bigInt("18928545496959756512579438348223103860103247450097569223971486743312798156950374943336714741350742176674694049986481729075548718599712271054643150030165230392897481507710187505775911256946250999396358633095137650326818007610162375520522758780751710735664264200260854016867498935206556916247099180950775474524799944404833222133011134000549939512938205188018503377612813102061504146765520561811620128786062447005833886367575841545493555268747671930923697279690399480501746857825917608323993022396398648205737336204493624060285359455268389160802763426461171262704764369336704988874821898000892148693988241020931055723252"); - // hashed data. decimal - const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); - const input = Object.assign({}, - splitToWords(sign, 64, 32, "sign"), - splitToWords(exp, 64, 32, "exp"), - splitToWords(modulus, 64, 32, "modulus"), - splitToWords(hashed, 64, 4, "hashed"), - ); - - (function () { - const witness = rsa_pkvs1v15_circuit.calculateWitness(input); - }.should.throw()); - - }); -}); - +//const chai = require("chai"); +//const path = require("path"); +//const snarkjs = require("snarkjs"); +//const bigInt = require("big-integer"); +//const assert = chai.assert; +// +//const compiler = require("circom"); +// +//const { splitToWords, assertWitnessHas } = require("./util.js"); +// +//chai.should(); +// +//describe("Rsa pkcs1v15 verify", () => { +// var rsa_pkvs1v15_circuit; +// +// before(async () => { +// let cirDef = await compiler(path.join(__dirname, "circuits", "rsa_verify.circom")); +// rsa_pkvs1v15_circuit = new snarkjs.Circuit(cirDef); +// }); +// +// +// it("2048 bits public key. correct sign. 1", () => { +// // public key params. decimal +// const modulus = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); +// const exp = bigInt(65537); +// // signature. decimal +// const sign = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); +// // hashed data. decimal +// const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); +// +// const input = Object.assign({}, +// splitToWords(sign, 64, 32, "sign"), +// splitToWords(exp, 64, 32, "exp"), +// splitToWords(modulus, 64, 32, "modulus"), +// splitToWords(hashed, 64, 4, "hashed"), +// ); +// +// const witness = rsa_pkvs1v15_circuit.calculateWitness(input); +// }); +// +// it("2048 bits public key. correct sign. 2", () => { +// // public key params. decimal +// const modulus = bigInt("24226501697440012621102249466312043787685293040734225606346036389705515508545746221669035424138747582133889500686654172873671086178893587422987328751464627501601101326475761646014534358699943642495332701081302954020983110372109611581202820849485662540890985814355975252780310958088652613376767040069489530039075302709233494829280591680666351811024913107949144932224439129715181798714328219977771472462901856297952813239115577652450722815852332547886777292613005505949100406231716599634852632308325816916535875123863510650526931916871614411907700873376659841257216885666098127478325534982891697988739616416855214839339"); +// const exp = bigInt(65537); +// // signature. decimal +// const sign = bigInt("18928545496959757512579438348223103860103247450097569223971486743312798156950374943336714741350742176674694049986481729075548718599712271054643150030165230392897481507710187505775911256946250999396358633095137650326818007610162375520522758780751710735664264200260854016867498935206556916247099180950775474524799944404833222133011134000549939512938205188018503377612813102061504146765520561811620128786062447005833886367575841545493555268747671930923697279690399480501746857825917608323993022396398648205737336204493624060285359455268389160802763426461171262704764369336704988874821898000892148693988241020931055723252"); +// // hashed data. decimal +// const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); +// +// const input = Object.assign({}, +// splitToWords(sign, 64, 32, "sign"), +// splitToWords(exp, 64, 32, "exp"), +// splitToWords(modulus, 64, 32, "modulus"), +// splitToWords(hashed, 64, 4, "hashed"), +// ); +// +// const witness = rsa_pkvs1v15_circuit.calculateWitness(input); +// }); +// +// it("2048 bits public key. uncorrect sign. ", () => { +// // public key params. decimal +// const modulus = bigInt("24226501697440012621102249466312043787685293040734225606346036389705515508545746221669035424138747582133889500686654172873671086178893587422987328751464627501601101326475761646014534358699943642495332701081302954020983110372109611581202820849485662540890985814355975252780310958088652613376767040069489530039075302709233494829280591680666351811024913107949144932224439129715181798714328219977771472462901856297952813239115577652450722815852332547886777292613005505949100406231716599634852632308325816916535875123863510650526931916871614411907700873376659841257216885666098127478325534982891697988739616416855214839339"); +// const exp = bigInt(65537); +// // signature. decimal +// const sign = bigInt("18928545496959756512579438348223103860103247450097569223971486743312798156950374943336714741350742176674694049986481729075548718599712271054643150030165230392897481507710187505775911256946250999396358633095137650326818007610162375520522758780751710735664264200260854016867498935206556916247099180950775474524799944404833222133011134000549939512938205188018503377612813102061504146765520561811620128786062447005833886367575841545493555268747671930923697279690399480501746857825917608323993022396398648205737336204493624060285359455268389160802763426461171262704764369336704988874821898000892148693988241020931055723252"); +// // hashed data. decimal +// const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); +// const input = Object.assign({}, +// splitToWords(sign, 64, 32, "sign"), +// splitToWords(exp, 64, 32, "exp"), +// splitToWords(modulus, 64, 32, "modulus"), +// splitToWords(hashed, 64, 4, "hashed"), +// ); +// +// (function () { +// const witness = rsa_pkvs1v15_circuit.calculateWitness(input); +// }.should.throw()); +// +// }); +//}); +// From 06032503955e3a0c175130d5f3b0c498f548b16f Mon Sep 17 00:00:00 2001 From: jacksoom Date: Fri, 20 Aug 2021 17:08:10 +0800 Subject: [PATCH 09/15] simple --- circuits/montgomery.circom | 15 ++-- test/mont_exp.js | 110 ++++++++++++------------- test/montgomery_reduction.js | 126 ++++++++++++++--------------- test/montgomery_reduction_64_32.js | 58 +++---------- test/montgomery_reduction_64_4.js | 126 ++++++++++++++--------------- test/normalize.js | 120 +++++++++++++-------------- test/util.js | 19 +---- 7 files changed, 262 insertions(+), 312 deletions(-) diff --git a/circuits/montgomery.circom b/circuits/montgomery.circom index 463fc79..68e5b20 100644 --- a/circuits/montgomery.circom +++ b/circuits/montgomery.circom @@ -1,4 +1,3 @@ - // montrygomery production alg. Currently // w = 64 // nb is the length of the number input @@ -75,19 +74,21 @@ template mont_cios(w, nb) { temp = temps[nb] + C; + C = temp >> 64; + temps[nb - 1] = temp & lo_64_bit_var; temps[nb] = C + temps[nb + 1]; } - component normal = normalize(w, nb); - for (var i = 0; i< nb; i++) { - normal.a[i] <-- temps[i]; - normal.modulus[i] <-- modulus[i]; - } + // component normal = normalize(w, nb); + // for (var i = 0; i< nb; i++) { + // normal.a[i] <-- temps[i]; + // normal.modulus[i] <-- modulus[i]; + // } for (var i = 0; i < nb; i++) { - out[i] <-- normal.out[i]; + out[i] <-- temps[i]; } } diff --git a/test/mont_exp.js b/test/mont_exp.js index c9438da..fc5e397 100644 --- a/test/mont_exp.js +++ b/test/mont_exp.js @@ -1,55 +1,55 @@ -const path = require("path"); - -const bigInt = require("big-integer"); -const Scalar = require("ffjavascript").Scalar; -const tester = require("circom").tester; - -const { splitToArray } = require("./util.js"); - - -describe("montgomery exponent 64bits/4words", function () { - this.timeout(100000); - - let circuit; - before(async () => { - circuit = await tester(path.join(__dirname, "circuits", "mont_exp.circom")); - }); - - it("64bits/4words. and mod = 52435875175126190479447740508185965837690552500527637822603658699938581184513", async () => { - - const modulus = bigInt("24226501697440012621102249466312043787685293040734225606346036389705515508545746221669035424138747582133889500686654172873671086178893587422987328751464627501601101326475761646014534358699943642495332701081302954020983110372109611581202820849485662540890985814355975252780310958088652613376767040069489530039075302709233494829280591680666351811024913107949144932224439129715181798714328219977771472462901856297952813239115577652450722815852332547886777292613005505949100406231716599634852632308325816916535875123863510650526931916871614411907700873376659841257216885666098127478325534982891697988739616416855214839339"); - - const m0inv = "4736324870124914557"; - - const sign = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); - - // p_A = (2 ** (64 * 32)) % modulus - const p_A = bigInt("8090504373870994679612627222357908172758809628981258425784309037819139630322144671528165987384165881554828460235243846620448472971597333672100823634983655619029776040825234445735663391689708464300724937302764614255809108270510144580635273488990507929690660037680329790107264933452413195230785359054440855482839030680434847591404383105898217683831262927377177125853366529615844393994132094172487120401275260427990790479346279705147628336449313356516920320620281725278025278479103610090304469418605506553142667456793187284519065351481384226307824293012777494286385249767131477166992943622060450204816237194204381391317"); - - // p_a = (a * r) % modulus - const p_a = bigInt("19072154410336807139418696976260212968540675922546765752736826145996869655756622548873347455947248021050921538311171789715523470247724251557601058125103625700941761034646698858071310182565269768981168519584711995302991904285228697391419713388819104994438114806716920075484924844137359380134009667510391269169076279760491579238026910153675786149676670940528964362751766341740256137008228081948558082219709238817789460567174381895573690274674295098414261384354408417638073989695885913898217149419056478104428576834037267113663842145482274989462614945861102288293269483256693676536058880107741774817376564564751474668870"); - - var testCases = [{ - description: "calc powerMod", - input: { - // 1844674407370955161600 - p_a: splitToArray(p_a, 64, 32), - p_A: splitToArray(p_A, 64, 32), - - exp: 65537, - modulus: splitToArray(modulus, 64, 32), - m0inv: m0inv, - }, - output: { out: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] }, - }]; - - - for (var i = 0; i < testCases.length; i++) { - const witness = await circuit.calculateWitness(testCases[i].input, true); - - await circuit.assertOut(witness, testCases[i].output); - } - }); -}); - - +//const path = require("path"); +// +//const bigInt = require("big-integer"); +//const Scalar = require("ffjavascript").Scalar; +//const tester = require("circom").tester; +// +//const { splitToArray } = require("./util.js"); +// +// +//describe("montgomery exponent 64bits/4words", function () { +// this.timeout(100000); +// +// let circuit; +// before(async () => { +// circuit = await tester(path.join(__dirname, "circuits", "mont_exp.circom")); +// }); +// +// it("64bits/4words. and mod = 52435875175126190479447740508185965837690552500527637822603658699938581184513", async () => { +// +// const modulus = bigInt("24226501697440012621102249466312043787685293040734225606346036389705515508545746221669035424138747582133889500686654172873671086178893587422987328751464627501601101326475761646014534358699943642495332701081302954020983110372109611581202820849485662540890985814355975252780310958088652613376767040069489530039075302709233494829280591680666351811024913107949144932224439129715181798714328219977771472462901856297952813239115577652450722815852332547886777292613005505949100406231716599634852632308325816916535875123863510650526931916871614411907700873376659841257216885666098127478325534982891697988739616416855214839339"); +// +// const m0inv = "4736324870124914557"; +// +// const sign = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); +// +// // p_A = (2 ** (64 * 32)) % modulus +// const p_A = bigInt("8090504373870994679612627222357908172758809628981258425784309037819139630322144671528165987384165881554828460235243846620448472971597333672100823634983655619029776040825234445735663391689708464300724937302764614255809108270510144580635273488990507929690660037680329790107264933452413195230785359054440855482839030680434847591404383105898217683831262927377177125853366529615844393994132094172487120401275260427990790479346279705147628336449313356516920320620281725278025278479103610090304469418605506553142667456793187284519065351481384226307824293012777494286385249767131477166992943622060450204816237194204381391317"); +// +// // p_a = (a * r) % modulus +// const p_a = bigInt("19072154410336807139418696976260212968540675922546765752736826145996869655756622548873347455947248021050921538311171789715523470247724251557601058125103625700941761034646698858071310182565269768981168519584711995302991904285228697391419713388819104994438114806716920075484924844137359380134009667510391269169076279760491579238026910153675786149676670940528964362751766341740256137008228081948558082219709238817789460567174381895573690274674295098414261384354408417638073989695885913898217149419056478104428576834037267113663842145482274989462614945861102288293269483256693676536058880107741774817376564564751474668870"); +// +// var testCases = [{ +// description: "calc powerMod", +// input: { +// // 1844674407370955161600 +// p_a: splitToArray(p_a, 64, 32), +// p_A: splitToArray(p_A, 64, 32), +// +// exp: 65537, +// modulus: splitToArray(modulus, 64, 32), +// m0inv: m0inv, +// }, +// output: { out: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] }, +// }]; +// +// +// for (var i = 0; i < testCases.length; i++) { +// const witness = await circuit.calculateWitness(testCases[i].input, true); +// +// await circuit.assertOut(witness, testCases[i].output); +// } +// }); +//}); +// +// diff --git a/test/montgomery_reduction.js b/test/montgomery_reduction.js index fdff4d5..d2cacf3 100644 --- a/test/montgomery_reduction.js +++ b/test/montgomery_reduction.js @@ -1,63 +1,63 @@ -const path = require("path"); - -const bigInt = require("big-integer"); -const Scalar = require("ffjavascript").Scalar; -const tester = require("circom").tester; - -const { splitToArray } = require("./util.js"); - - -describe("montgomery reduction 64bits/4words", function () { - this.timeout(100000); - - let circuit; - before(async () => { - circuit = await tester(path.join(__dirname, "circuits", "montgomery_64_4.circom")); - }); - - it("64bits/4words. and mod = 52435875175126190479447740508185965837690552500527637822603658699938581184513", async () => { - - const modulus = splitToArray(bigInt("52435875175126190479447740508185965837690552500527637822603658699938581184513"), 64, 4); - const m0inv = "18446744069414584319"; - - - var testCases = [{ - description: "one word", - input: { - x: splitToArray(bigInt("1844674407370955161600"), 64, 4), - y: splitToArray(bigInt("100"), 64, 4), - // 52435875175126190479447740508185965837690552500527637822603658699938581184513 - modulus: modulus, - m0inv: "18446744069414584319", - }, - output: { out: [0, 0, 10000, 0] }, - }, { - description: "two words", - input: { - x: splitToArray(bigInt("184467440737095516161561654"), 64, 4), - y: splitToArray(bigInt("184467440737095516161561654"), 64, 4), - // 52435875175126190479447740508185965837690552500527637822603658699938581184513 - modulus: modulus, - m0inv: m0inv, - }, - output: { out: [2438763215716, 31233080000000, 100000000000000, 0] }, - }, { - description: "Four words", - input: { - x: ['9366702579560100036', '3153357315881433552', '1550162754830709279', '3363521531482743643'], - y: splitToArray(bigInt("12389174593798789739243342131821798678432796312321"), 64, 4), - // 52435875175126190479447740508185965837690552500527637822603658699938581184513 - modulus: modulus, - m0inv: m0inv, - }, - output: { out: ['11877590625878374308', '91176932193565308', '14825753355501141940', '4643043795916575606'] }, - } - ] - - - for (var i = 0; i < testCases.length; i++) { - const witness = await circuit.calculateWitness(testCases[i].input, true); - await circuit.assertOut(witness, testCases[i].output); - } - }); -}); +//const path = require("path"); +// +//const bigInt = require("big-integer"); +//const Scalar = require("ffjavascript").Scalar; +//const tester = require("circom").tester; +// +//const { splitToArray } = require("./util.js"); +// +// +//describe("montgomery reduction 64bits/4words", function () { +// this.timeout(100000); +// +// let circuit; +// before(async () => { +// circuit = await tester(path.join(__dirname, "circuits", "montgomery_64_4.circom")); +// }); +// +// it("64bits/4words. and mod = 52435875175126190479447740508185965837690552500527637822603658699938581184513", async () => { +// +// const modulus = splitToArray(bigInt("52435875175126190479447740508185965837690552500527637822603658699938581184513"), 64, 4); +// const m0inv = "18446744069414584319"; +// +// +// var testCases = [{ +// description: "one word", +// input: { +// x: splitToArray(bigInt("1844674407370955161600"), 64, 4), +// y: splitToArray(bigInt("100"), 64, 4), +// // 52435875175126190479447740508185965837690552500527637822603658699938581184513 +// modulus: modulus, +// m0inv: "18446744069414584319", +// }, +// output: { out: [0, 0, 10000, 0] }, +// }, { +// description: "two words", +// input: { +// x: splitToArray(bigInt("184467440737095516161561654"), 64, 4), +// y: splitToArray(bigInt("184467440737095516161561654"), 64, 4), +// // 52435875175126190479447740508185965837690552500527637822603658699938581184513 +// modulus: modulus, +// m0inv: m0inv, +// }, +// output: { out: [2438763215716, 31233080000000, 100000000000000, 0] }, +// }, { +// description: "Four words", +// input: { +// x: ['9366702579560100036', '3153357315881433552', '1550162754830709279', '3363521531482743643'], +// y: splitToArray(bigInt("12389174593798789739243342131821798678432796312321"), 64, 4), +// // 52435875175126190479447740508185965837690552500527637822603658699938581184513 +// modulus: modulus, +// m0inv: m0inv, +// }, +// output: { out: ['11877590625878374308', '91176932193565308', '14825753355501141940', '4643043795916575606'] }, +// } +// ] +// +// +// for (var i = 0; i < testCases.length; i++) { +// const witness = await circuit.calculateWitness(testCases[i].input, true); +// await circuit.assertOut(witness, testCases[i].output); +// } +// }); +//}); diff --git a/test/montgomery_reduction_64_32.js b/test/montgomery_reduction_64_32.js index 1a6a25b..25f9c38 100644 --- a/test/montgomery_reduction_64_32.js +++ b/test/montgomery_reduction_64_32.js @@ -7,7 +7,7 @@ const tester = require("circom").tester; const { splitToArray } = require("./util.js"); -describe("montgomery reduction 64bits/32words", function () { +describe("montgomery reduction 64bits/32words. pls pass?", function () { this.timeout(100000); let circuit; @@ -16,72 +16,38 @@ describe("montgomery reduction 64bits/32words", function () { }); it("64bits/4words. and mod = 52435875175126190479447740508185965837690552500527637822603658699938581184513", async () => { + const n = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); - const modulus = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); + const m0ninv = "12890617734997456953"; - const m0inv = "12890617734997456953"; - - const sign = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); + const sign = bigInt("15616512314484646512134"); // p_A = (2 ** (64 * 32)) % modulus const p_A = bigInt("8090504373870994679612627222357908172758809628981258425784309037819139630322144671528165987384165881554828460235243846620448472971597333672100823634983655619029776040825234445735663391689708464300724937302764614255809108270510144580635273488990507929690660037680329790107264933452413195230785359054440855482839030680434847591404383105898217683831262927377177125853366529615844393994132094172487120401275260427990790479346279705147628336449313356516920320620281725278025278479103610090304469418605506553142667456793187284519065351481384226307824293012777494286385249767131477166992943622060450204816237194204381391317"); - const r = bigInt("32317006071311007300714876688669951960444102669715484032130345427524655138867890893197201411522913463688717960921898019494119559150490921095088152386448283120630877367300996091750197750389652106796057638384067568276792218642619756161838094338476170470581645852036305042887575891541065808607552399123930385521914333389668342420684974786564569494856176035326322058077805659331026192708460314150258592864177116725943603718461857357598351152301645904403697613233287231227125684710820209725157101726931323469678542580656697935045997268352998638215525166389437335543602135433229604645318478604952148193555853611059596230656"); // p_a = (a * r) % modulus - const p_a = sign.multiply(r).mod(modulus); - + const p_a = sign.shiftLeft(bigInt(32 * 64)).mod(n); - const result = sign.multiply(sign).mod(modulus); + const result = sign.multiply(sign).mod(n); - // console.log("result", splitToArray(result, 64, 32)); + console.log("result", splitToArray(result, 64, 32)); var testCases = [{ description: "one word", input: { x: splitToArray(p_a, 64, 32), y: splitToArray(sign, 64, 32), - modulus: splitToArray(modulus, 64, 32), - m0inv: m0inv, + modulus: splitToArray(n, 64, 32), + m0inv: m0ninv, }, output: { - out: [ - "6726338490320059920", - "10912188918279059842", - "9480684547274909370", - "17957855819450938343", - "14472935173278472155", - "7079099867353219214", - "16449430926296343172", - "5104880238183543706", - "10665479437761628207", - "5855523454381758411", - "10461162232393809384", - "8506503615129027292", - "713958493375598634", - "6870643563889906329", - "6496643502438963194", - "3333526337816518494", - "7059814241034669637", - "11046528448239496056", - "8821061847720768545", - "8804814027843795770", - "9550990298891609521", - "4546832636732460115", - "11005916837189288046", - "6747247992486122322", - "8062076261952398748", - "11274417876012308159", - "12082695046704314515", - "9977902230884319566", - "8117196317861485583", - "6870310691445046553", - "15178250919948156997", - "13075022197409122935"] + out: splitToArray(result, 64, 32), }, }] - for (var i = 0; i < testCases.length; i++) { + console.log(testCases[i].input); + const witness = await circuit.calculateWitness(testCases[i].input, true); await circuit.assertOut(witness, testCases[i].output); diff --git a/test/montgomery_reduction_64_4.js b/test/montgomery_reduction_64_4.js index 1faa5e3..65ed4a4 100644 --- a/test/montgomery_reduction_64_4.js +++ b/test/montgomery_reduction_64_4.js @@ -1,63 +1,63 @@ -const path = require("path"); - -const bigInt = require("big-integer"); -const Scalar = require("ffjavascript").Scalar; -const tester = require("circom").tester; - -const { splitToArray } = require("./util.js"); - - -describe("montgomery reduction 64bits/4words", function () { - this.timeout(100000); - - let circuit; - before(async () => { - circuit = await tester(path.join(__dirname, "circuits", "montgomery_64_4.circom")); - }); - - it("64bits/4words. and mod = 52435875175126190479447740508185965837690552500527637822603658699938581184513", async () => { - - const modulus = splitToArray(bigInt("52435875175126190479447740508185965837690552500527637822603658699938581184513"), 64, 4); - const m0inv = "18446744069414584319"; - - - var testCases = [{ - description: "one word", - input: { - x: splitToArray(bigInt("1844674407370955161600"), 64, 4), - y: splitToArray(bigInt("100"), 64, 4), - // 52435875175126190479447740508185965837690552500527637822603658699938581184513 - modulus: modulus, - m0inv: m0inv, - }, - output: { out: [0, 0, 10000, 0] }, - }, { - description: "two words", - input: { - x: splitToArray(bigInt("184467440737095516161561654"), 64, 4), - y: splitToArray(bigInt("184467440737095516161561654"), 64, 4), - // 52435875175126190479447740508185965837690552500527637822603658699938581184513 - modulus: modulus, - m0inv: m0inv, - }, - output: { out: [2438763215716, 31233080000000, 100000000000000, 0] }, - }, { - description: "Four words", - input: { - x: ['9366702579560100036', '3153357315881433552', '1550162754830709279', '3363521531482743643'], - y: splitToArray(bigInt("12389174593798789739243342131821798678432796312321"), 64, 4), - // 52435875175126190479447740508185965837690552500527637822603658699938581184513 - modulus: modulus, - m0inv: m0inv, - }, - output: { out: ['11877590625878374308', '91176932193565308', '14825753355501141940', '4643043795916575606'] }, - } - ] - - - for (var i = 0; i < testCases.length; i++) { - const witness = await circuit.calculateWitness(testCases[i].input, true); - await circuit.assertOut(witness, testCases[i].output); - } - }); -}); \ No newline at end of file +//const path = require("path"); +// +//const bigInt = require("big-integer"); +//const Scalar = require("ffjavascript").Scalar; +//const tester = require("circom").tester; +// +//const { splitToArray } = require("./util.js"); +// +// +//describe("montgomery reduction 64bits/4words", function () { +// this.timeout(100000); +// +// let circuit; +// before(async () => { +// circuit = await tester(path.join(__dirname, "circuits", "montgomery_64_4.circom")); +// }); +// +// it("64bits/4words. and mod = 52435875175126190479447740508185965837690552500527637822603658699938581184513", async () => { +// +// const modulus = splitToArray(bigInt("52435875175126190479447740508185965837690552500527637822603658699938581184513"), 64, 4); +// const m0inv = "18446744069414584319"; +// +// +// var testCases = [{ +// description: "one word", +// input: { +// x: splitToArray(bigInt("1844674407370955161600"), 64, 4), +// y: splitToArray(bigInt("100"), 64, 4), +// // 52435875175126190479447740508185965837690552500527637822603658699938581184513 +// modulus: modulus, +// m0inv: m0inv, +// }, +// output: { out: [0, 0, 10000, 0] }, +// }, { +// description: "two words", +// input: { +// x: splitToArray(bigInt("184467440737095516161561654"), 64, 4), +// y: splitToArray(bigInt("184467440737095516161561654"), 64, 4), +// // 52435875175126190479447740508185965837690552500527637822603658699938581184513 +// modulus: modulus, +// m0inv: m0inv, +// }, +// output: { out: [2438763215716, 31233080000000, 100000000000000, 0] }, +// }, { +// description: "Four words", +// input: { +// x: ['9366702579560100036', '3153357315881433552', '1550162754830709279', '3363521531482743643'], +// y: splitToArray(bigInt("12389174593798789739243342131821798678432796312321"), 64, 4), +// // 52435875175126190479447740508185965837690552500527637822603658699938581184513 +// modulus: modulus, +// m0inv: m0inv, +// }, +// output: { out: ['11877590625878374308', '91176932193565308', '14825753355501141940', '4643043795916575606'] }, +// } +// ] +// +// +// for (var i = 0; i < testCases.length; i++) { +// const witness = await circuit.calculateWitness(testCases[i].input, true); +// await circuit.assertOut(witness, testCases[i].output); +// } +// }); +//}); diff --git a/test/normalize.js b/test/normalize.js index 1c02eda..856552d 100644 --- a/test/normalize.js +++ b/test/normalize.js @@ -1,60 +1,60 @@ -const path = require("path"); - -const bigInt = require("big-integer"); -const Scalar = require("ffjavascript").Scalar; -const tester = require("circom").tester; - -const { splitToArray } = require("./util.js"); - -function print(circuit, w, s) { - console.log(s + ": " + w[circuit.getSignalIdx(s)]); -} - - -describe("normalize template test. a > modulus ? a - modulus : a", function () { - - this.timeout(100000); - - let circuit; - before(async () => { - circuit = await tester(path.join(__dirname, "circuits", "normalize.circom")); - }); - - it("normalize template test", async () => { - var testCases = [{ - description: "One word. No need for sub", - input: { - a: splitToArray(bigInt("4"), 64, 8), - modulus: splitToArray(bigInt("5"), 64, 8), - }, - output: { out: [0, 0, 0, 0, 0, 0, 0, 4] }, - }, { - description: "Two word. Need for sub", - input: { - a: splitToArray(bigInt("45613215616541654654"), 64, 8), - modulus: splitToArray(bigInt("45613215616541654651"), 64, 8), - }, - output: { out: [0, 0, 0, 0, 0, 0, 0, 3] }, - }, { - description: "Three word. Need for sub", - input: { - a: splitToArray(bigInt("35165413564654612131346546516513054615640"), 64, 8), - modulus: splitToArray(bigInt("35165413564654612131346546516513054615636"), 64, 8), - }, - output: { out: [0, 0, 0, 0, 0, 0, 0, 4] }, - }, { - description: "Eight word. Need for sub", - input: { - a: splitToArray(bigInt("3516541356445124321613556156315611321654561563153615613213156315615615612316156123132123132165156465132165465465411651656546126513054615644"), 64, 8), - modulus: splitToArray(bigInt("3516541356445124321613556156311611321654561563153615613213156315615615612316156123132123132165156465132165465465411651656546126513054615640"), 64, 8), - }, - output: { out: [0, 0, 4, '10967461361298178048', '9489550332887426220', '11036400390711386231', '16220791373695979585', '1872670541876'] }, - } - ] - - for (var i = 0; i < testCases.length; i++) { - const witness = await circuit.calculateWitness(testCases[i].input, true); - await circuit.assertOut(witness, testCases[i].output); - } - }); -}); \ No newline at end of file +//const path = require("path"); +// +//const bigInt = require("big-integer"); +//const Scalar = require("ffjavascript").Scalar; +//const tester = require("circom").tester; +// +//const { splitToArray } = require("./util.js"); +// +//function print(circuit, w, s) { +// console.log(s + ": " + w[circuit.getSignalIdx(s)]); +//} +// +// +//describe("normalize template test. a > modulus ? a - modulus : a", function () { +// +// this.timeout(100000); +// +// let circuit; +// before(async () => { +// circuit = await tester(path.join(__dirname, "circuits", "normalize.circom")); +// }); +// +// it("normalize template test", async () => { +// var testCases = [{ +// description: "One word. No need for sub", +// input: { +// a: splitToArray(bigInt("4"), 64, 8), +// modulus: splitToArray(bigInt("5"), 64, 8), +// }, +// output: { out: [4, 0, 0, 0, 0, 0, 0, 0] }, +// }, { +// description: "Two word. Need for sub", +// input: { +// a: splitToArray(bigInt("45613215616541654654"), 64, 8), +// modulus: splitToArray(bigInt("45613215616541654651"), 64, 8), +// }, +// output: { out: [3, 0, 0, 0, 0, 0, 0, 0] }, +// }, { +// description: "Three word. Need for sub", +// input: { +// a: splitToArray(bigInt("35165413564654612131346546516513054615640"), 64, 8), +// modulus: splitToArray(bigInt("35165413564654612131346546516513054615636"), 64, 8), +// }, +// output: { out: [4, 0, 0, 0, 0, 0, 0, 0] }, +// }, { +// description: "Eight word. Need for sub", +// input: { +// a: splitToArray(bigInt("3516541356445124321613556156315611321654561563153615613213156315615615612316156123132123132165156465132165465465411651656546126513054615644"), 64, 8), +// modulus: splitToArray(bigInt("3516541356445124321613556156311611321654561563153615613213156315615615612316156123132123132165156465132165465465411651656546126513054615640"), 64, 8), +// }, +// output: { out: [0, 0, 4, '10967461361298178048', '9489550332887426220', '11036400390711386231', '16220791373695979585', '1872670541876'] }, +// } +// ] +// +// for (var i = 0; i < testCases.length; i++) { +// const witness = await circuit.calculateWitness(testCases[i].input, true); +// await circuit.assertOut(witness, testCases[i].output); +// } +// }); +//}); diff --git a/test/util.js b/test/util.js index 5d2e53e..68c3155 100644 --- a/test/util.js +++ b/test/util.js @@ -1,8 +1,5 @@ const bigInt = require("big-integer"); -const chai = require("chai"); -const snarkjs = require("snarkjs"); -const assert = chai.assert; function splitToArray(x, w, n) { let t = bigInt(x); @@ -11,27 +8,13 @@ function splitToArray(x, w, n) { var words = new Array(w); for (let i = 0; i < n; ++i) { // words[`${name}[${i}]`] = `${t.mod(bigInt(2).pow(w))}`; - words[i] = `${t.mod(bigInt(2).pow(w))}`; + words[n - 1 - i] = `${t.mod(bigInt(2).pow(w))}`; t = t.divide(bigInt(2).pow(w)); } if (!t.isZero()) { throw `Number ${x} does not fit in ${w * n} bits`; } - let end_index = n - 1; - for (let i = n - 1; i >= 0; i--) { - if (words[i] == '0') { - continue; - } - - words[end_index] = words[i]; - if (end_index != i) { - words[i] = '0'; - } - - end_index--; - } - return words; } From 661ae4e921b206de27072e9698a8f322c54e4eba Mon Sep 17 00:00:00 2001 From: jacksoom Date: Mon, 23 Aug 2021 11:40:23 +0800 Subject: [PATCH 10/15] add full unit test --- .gitmodules | 3 - README.md | 27 ++-- circomlib | 1 + circuits/mont_exp.circom | 73 ++++++----- circuits/montgomery.circom | 101 +++++++-------- circuits/pow_mod.circom | 69 ---------- circuits/rsa_verify.circom | 28 +++-- test/circuits/montgomery_64_4.circom | 3 - test/circuits/rsa_verify.circom | 2 +- test/mont_exp.js | 115 +++++++++-------- test/montgomery_reduction.js | 63 ---------- test/montgomery_reduction_64_32.js | 12 +- test/montgomery_reduction_64_4.js | 63 ---------- test/normalize.js | 124 +++++++++--------- test/pow.js | 41 ------ test/rsa_verify.js | 181 +++++++++++++++------------ test/util.js | 2 +- 17 files changed, 355 insertions(+), 553 deletions(-) create mode 160000 circomlib delete mode 100644 circuits/pow_mod.circom delete mode 100644 test/circuits/montgomery_64_4.circom delete mode 100644 test/montgomery_reduction.js delete mode 100644 test/montgomery_reduction_64_4.js delete mode 100644 test/pow.js diff --git a/.gitmodules b/.gitmodules index 62d01e8..30f63a3 100644 --- a/.gitmodules +++ b/.gitmodules @@ -1,6 +1,3 @@ [submodule "circomlib"] path = circomlib url = https://github.com/iden3/circomlib.git -[submodule "circom-bigint"] - path = circom-bigint - url = https://github.com/jacksoom/circom-bigint.git diff --git a/README.md b/README.md index 10ce63b..2ae7d05 100644 --- a/README.md +++ b/README.md @@ -1,6 +1,6 @@ # circom-rsa-verify -This repository contains an implementation of a Zero Knowledge Proof for RSA signature verify for the circom language. -Currently supported pkcs1v15 + sha256 and exponent is 65537 +This repository contains an implementation of a Zero Knowledge Proof for RSA signature verify for the [Circom](https://docs.circom.io) language. +Currently supported pkcs1v15 + sha256 and exponent is 65537. The Montgomery Exponentiation algorithm and Montgomery CIOS product is used to calculate large numbers [Modular exponentiation](https://en.wikipedia.org/wiki/Modular_exponentiation) # Getting started Running circuits test cases ```sh @@ -10,16 +10,17 @@ git submodule update --init --recursive; npm install; npm test ## Circuits Benchmark RSA verify: pkcs1v15/sha256/2048 bits key * Env: Mac mini (M1, 2020). 8 cores. 8 threads -* Memory consumption: 1.7G -* Time consumption: 150s -## The circom compiler -This repository uses a modified version of the circom compiler found at -[alex-ozdemir/circom](https://github.com/alex-ozdemir/circom). -It includes a few extra features not found in the original: +Circuit infomation +* Curve: bn-128 +* Wires: 103 +* Constraints: 65 +* Public Inputs: 102 +* Memory consumption: 120M+ +* Time consumption: 40ms +## Ref +1. [Montgomery modular multiplication](https://en.wikipedia.org/wiki/Montgomery_modular_multiplication) + +2. [Arithmetic of Finite Fields](https://www.researchgate.net/publication/319538235_Arithmetic_of_Finite_Fields) + - * Clearer error printouts - * More comprehensive/informative treatment of `log` statements - * A new type `int` which enables bigints to be handled during witness - computations. - * `compute` blocks diff --git a/circomlib b/circomlib new file mode 160000 index 0000000..e387ad8 --- /dev/null +++ b/circomlib @@ -0,0 +1 @@ +Subproject commit e387ad83adef12ddd9b8bd91e225c5442891da21 diff --git a/circuits/mont_exp.circom b/circuits/mont_exp.circom index 29fdfd0..7e47793 100644 --- a/circuits/mont_exp.circom +++ b/circuits/mont_exp.circom @@ -6,62 +6,71 @@ include "./montgomery.circom" template mont_exp(w, nb) { signal input p_a[nb]; signal input p_A[nb]; - signal input exp; - signal input m0inv; - signal input modulus[nb]; + signal input p[nb]; + signal input m0ninv; signal output out[nb]; + // 0b10000000000000001 exp === 65537; - - component muls[19]; - for (var i = 0; i< 19; i++) { - muls[i] = mont_cios(w, nb); - muls[i].m0inv <-- m0inv; + var e_bits = 17; + + component montPrs[19]; + + for (var i = 0; i < e_bits + 2 ; i++) { + montPrs[i] = mont_cios(w, nb); + montPrs[i].m0inv <-- m0ninv; for (var j = 0; j < nb; j++) { - muls[i].modulus[j] <-- modulus[j]; + montPrs[i].modulus[j] <-- p[j]; } + } + var mont_index = 0; + for (var i = 0; i < e_bits; i++) { if (i == 0) { for (var j = 0; j < nb; j++) { - muls[i].x[j] <-- p_A[j]; - muls[i].y[j] <-- p_A[j]; + montPrs[mont_index].x[j] <-- p_A[j]; + montPrs[mont_index].y[j] <-- p_A[j]; } - } else if (i == 1 || i == 18) { + } else { for (var j = 0; j < nb; j++) { - muls[i].x[j] <-- muls[i - 1].out[j]; - muls[i].y[j] <-- p_a[j]; + montPrs[mont_index].x[j] <-- montPrs[mont_index - 1].out[j]; + montPrs[mont_index].y[j] <-- montPrs[mont_index - 1].out[j]; } - } else { + } + + mont_index ++; + + if (i == 0 || i == (e_bits - 1)) { for (var j = 0; j < nb; j++) { - muls[i].x[j] <-- muls[i - 1].out[j]; - muls[i].y[j] <-- muls[i - 1].out[j]; - } + montPrs[mont_index].x[j] <-- montPrs[mont_index - 1].out[j]; + montPrs[mont_index].y[j] <-- p_a[j]; + } + + mont_index ++; } } - // A <- MontPr(p_A, 1); - component result_mul = mont_cios(w, nb); - - result_mul.m0inv <-- m0inv; + component resultMontPr = mont_cios(w, nb); - for (var j = 0; j < nb; j++) { - result_mul.modulus[j] <-- modulus[j]; - result_mul.x[j] <-- muls[18].out[j]; + resultMontPr.m0inv <-- m0ninv; - if (j == 0) { - result_mul.y[j] <-- 1; - }else { - result_mul.y[j] <-- 0; + for (var i = 0; i < nb; i++) { + resultMontPr.modulus[i] <-- p[i]; + resultMontPr.x[i] <-- montPrs[mont_index - 1].out[i]; + var t = 0; + if (i == 0) { + t = 1; } - } + resultMontPr.y[i] <-- t; + } - for (var i = 0; i< nb; i++) { - out[i] <-- result_mul.out[i]; + for (var i = 0; i < nb; i ++) { + out[i] <-- resultMontPr.out[i]; } } diff --git a/circuits/montgomery.circom b/circuits/montgomery.circom index 68e5b20..d82a6cb 100644 --- a/circuits/montgomery.circom +++ b/circuits/montgomery.circom @@ -41,14 +41,22 @@ template mont_cios(w, nb) { for (var i = 0; i < nb +2 ;i ++) { temps[i] = 0; } - + + + var temp = 0; // 0b1111111111111111111111111111111111111111111111111111111111111111 - var lo_64_bit_var = 18446744073709551615; + var lo_64_bit_var = (1 << w) - 1; + + // TODO: add constraint for (m0inv * modulus[0]) % (1 << w) ≡ -1 + + var C = 0; for (var i = 0; i < nb; i++) { - var C = 0; + C = 0; + for (var j = 0; j < nb; j++) { temp = x[j] * y[i] + temps[j] + C; + C = temp >> 64; temps[j] = temp & lo_64_bit_var; } @@ -80,15 +88,16 @@ template mont_cios(w, nb) { temps[nb] = C + temps[nb + 1]; } - // component normal = normalize(w, nb); - // for (var i = 0; i< nb; i++) { - // normal.a[i] <-- temps[i]; - // normal.modulus[i] <-- modulus[i]; - // } + component normal = normalize(w, nb); + normal.a_carry <-- temps[nb]; + for (var i = 0; i< nb; i++) { + normal.a[i] <-- temps[i]; + normal.modulus[i] <-- modulus[i]; + } for (var i = 0; i < nb; i++) { - out[i] <-- temps[i]; + out[i] <-- normal.out[i]; } } @@ -96,68 +105,59 @@ template mont_cios(w, nb) { template normalize(w, nb) { signal input a[nb]; signal input modulus[nb]; + signal input a_carry; + signal output out[nb]; // check a greater than modulus var needSub = 2; - for (var i = nb - 1; i >= 0; i--) { - if(a[i] > modulus[i] && needSub == 2) { - needSub = 1; - } + if (a_carry == 1) { + needSub = 1; + }else { + for (var i = nb - 1; i >= 0; i--) { + if(a[i] > modulus[i] && needSub == 2) { + needSub = 1; + } - if (a[i] < modulus[i] && needSub == 2) { - needSub = 0; + if (a[i] < modulus[i] && needSub == 2) { + needSub = 0; + } } } + var borrow = 0; var temp = 0; var t[nb]; - - if (needSub == 0) { - // out = a - for (var i = 0;i < nb; i++) { - out[i] <-- a[i]; - } - } else { - // out = a - m; - for (var i = 0; i< nb; i++) { + // out = a + for (var i = 0;i < nb; i++) { + t[i] = a[i]; + } + var carry_v = 1 << w; + + if (needSub == 1) { + for (var i = 0; i < nb; i++) { temp = a[i]; - - if(borrow == 1) { - temp--; + if (i == nb - 1 && a_carry == 1) { + temp += carry_v; } - if (((temp == 0) && (modulus[i] > 0 || borrow == 1)) || temp < modulus[i]) { + if (temp < (modulus[i] + borrow)) { + temp += (carry_v - borrow); borrow = 1; - temp += 1 << (w + 1); - } else { - borrow = 0; + }else { + temp = temp - borrow; + borrow = 0 } - t[i] = (temp - modulus[i]) & 18446744073709551615; - } - - var last = nb - 1; - var sign = 0; - - for (var i = nb - 1; i >= 0; i--) { - if (t[i] != 0 || sign != 0) { - t[last] = t[i]; - last --; - if (last != i) { - t[i] = 0; - } - - sign = 1; - } + t[i] = temp - modulus[i]; } + } - for (var i = 0; i< nb; i++) { - out[i] <-- t[i]; - } + for (var i = 0; i< nb; i++) { + out[i] <-- t[i]; } } @@ -183,3 +183,4 @@ function sub(a, b, nb, w) { return out; } + diff --git a/circuits/pow_mod.circom b/circuits/pow_mod.circom deleted file mode 100644 index caa7316..0000000 --- a/circuits/pow_mod.circom +++ /dev/null @@ -1,69 +0,0 @@ -include "../circom-bigint/circomlib/circuits/bitify.circom" -include "../circom-bigint/circuits/mult.circom" -// w = 32 -// base ** exp mod modulus -// nb is the length of the input number -// exp = 65537 -template PowerModv2(w, nb, e_bits) { - signal input base[nb]; - signal input exp[nb]; - signal input modulus[nb]; - - signal output out[nb]; - - - component muls[e_bits + 2]; - for (var i = 0; i < e_bits + 2; i++) { - muls[i] = MultiplierReducer(w, nb); - // modulus params - for (var j = 0; j < nb; j++) { - muls[i].modulus[j] <-- modulus[j]; - } - } - - // result/base muls component index - var result_index=0; - var base_index=0; - var muls_index=0; - for (var i = 0; i< e_bits; i++) { - if (i == 0 || i == e_bits - 1) { - if (i == 0) { - for(var j = 0; j < nb; j ++) { - if (j == 0) { - muls[muls_index].a[j] <-- 1; - } else { - muls[muls_index].a[j] <-- 0; - } - muls[muls_index].b[j] <-- base[j]; - } - } else { - for(var j = 0; j < nb; j++) { - muls[muls_index].a[j] <-- muls[result_index].prod[j]; - muls[muls_index].b[j] <-- muls[base_index].prod[j]; - } - } - result_index = muls_index; - muls_index++; - } - - if (base_index == 0) { - for (var j = 0; j < nb; j++) { - muls[muls_index].a[j] <-- base[j]; - muls[muls_index].b[j] <-- base[j]; - } - } else { - for (var j = 0; j < nb; j++) { - muls[muls_index].a[j] <-- muls[base_index].prod[j]; - muls[muls_index].b[j] <-- muls[base_index].prod[j]; - } - } - base_index = muls_index; - muls_index++; - } - - for (var i = 0; i < nb; i++) { - out[i] <-- muls[result_index].prod[i]; - } -} - - diff --git a/circuits/rsa_verify.circom b/circuits/rsa_verify.circom index 879fd17..8bb75d4 100644 --- a/circuits/rsa_verify.circom +++ b/circuits/rsa_verify.circom @@ -1,21 +1,29 @@ -include "./pow_mod.circom"; -include "../circom-bigint/circomlib/circuits/bitify.circom" +include "./mont_exp.circom"; +include "../circomlib/circuits/bitify.circom" // Pkcs1v15 + Sha256 // exp 65537 -template RsaVerifyPkcs1v15(w, nb, e_bits, hashLen) { - signal input exp[nb]; - signal input sign[nb]; - signal input modulus[nb]; +template RsaVerifyPkcs1v15(w, nb, hashLen) { + // p_a = sign * 2 ^ (w * nb) mod p + signal input p_a[nb]; + // p_A = 2 ^ (w * nb) mod p + signal input p_A[nb]; + signal input exp; + // modulus + signal input p[nb]; + signal input m0ninv; signal input hashed[hashLen]; // sign ** exp mod modulus - component pm = PowerModv2(w, nb, e_bits); + component pm = mont_exp(w, nb); + pm.exp <-- exp; + pm.m0ninv <-- m0ninv; + for (var i = 0; i < nb; i++) { - pm.base[i] <-- sign[i]; - pm.exp[i] <-- exp[i]; - pm.modulus[i] <-- modulus[i]; + pm.p_a[i] <-- p_a[i]; + pm.p_A[i] <-- p_A[i]; + pm.p[i] <-- p[i]; } // 1. Check hashed data diff --git a/test/circuits/montgomery_64_4.circom b/test/circuits/montgomery_64_4.circom deleted file mode 100644 index 4fd898f..0000000 --- a/test/circuits/montgomery_64_4.circom +++ /dev/null @@ -1,3 +0,0 @@ -include "../../circuits/montgomery.circom" - -component main = mont_cios(64, 4); diff --git a/test/circuits/rsa_verify.circom b/test/circuits/rsa_verify.circom index 1ba38a1..b5059a1 100644 --- a/test/circuits/rsa_verify.circom +++ b/test/circuits/rsa_verify.circom @@ -1,3 +1,3 @@ include "../../circuits/rsa_verify.circom" -component main = RsaVerifyPkcs1v15(64, 32, 17, 4); +component main = RsaVerifyPkcs1v15(64, 32, 4); diff --git a/test/mont_exp.js b/test/mont_exp.js index fc5e397..caa75ee 100644 --- a/test/mont_exp.js +++ b/test/mont_exp.js @@ -1,55 +1,60 @@ -//const path = require("path"); -// -//const bigInt = require("big-integer"); -//const Scalar = require("ffjavascript").Scalar; -//const tester = require("circom").tester; -// -//const { splitToArray } = require("./util.js"); -// -// -//describe("montgomery exponent 64bits/4words", function () { -// this.timeout(100000); -// -// let circuit; -// before(async () => { -// circuit = await tester(path.join(__dirname, "circuits", "mont_exp.circom")); -// }); -// -// it("64bits/4words. and mod = 52435875175126190479447740508185965837690552500527637822603658699938581184513", async () => { -// -// const modulus = bigInt("24226501697440012621102249466312043787685293040734225606346036389705515508545746221669035424138747582133889500686654172873671086178893587422987328751464627501601101326475761646014534358699943642495332701081302954020983110372109611581202820849485662540890985814355975252780310958088652613376767040069489530039075302709233494829280591680666351811024913107949144932224439129715181798714328219977771472462901856297952813239115577652450722815852332547886777292613005505949100406231716599634852632308325816916535875123863510650526931916871614411907700873376659841257216885666098127478325534982891697988739616416855214839339"); -// -// const m0inv = "4736324870124914557"; -// -// const sign = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); -// -// // p_A = (2 ** (64 * 32)) % modulus -// const p_A = bigInt("8090504373870994679612627222357908172758809628981258425784309037819139630322144671528165987384165881554828460235243846620448472971597333672100823634983655619029776040825234445735663391689708464300724937302764614255809108270510144580635273488990507929690660037680329790107264933452413195230785359054440855482839030680434847591404383105898217683831262927377177125853366529615844393994132094172487120401275260427990790479346279705147628336449313356516920320620281725278025278479103610090304469418605506553142667456793187284519065351481384226307824293012777494286385249767131477166992943622060450204816237194204381391317"); -// -// // p_a = (a * r) % modulus -// const p_a = bigInt("19072154410336807139418696976260212968540675922546765752736826145996869655756622548873347455947248021050921538311171789715523470247724251557601058125103625700941761034646698858071310182565269768981168519584711995302991904285228697391419713388819104994438114806716920075484924844137359380134009667510391269169076279760491579238026910153675786149676670940528964362751766341740256137008228081948558082219709238817789460567174381895573690274674295098414261384354408417638073989695885913898217149419056478104428576834037267113663842145482274989462614945861102288293269483256693676536058880107741774817376564564751474668870"); -// -// var testCases = [{ -// description: "calc powerMod", -// input: { -// // 1844674407370955161600 -// p_a: splitToArray(p_a, 64, 32), -// p_A: splitToArray(p_A, 64, 32), -// -// exp: 65537, -// modulus: splitToArray(modulus, 64, 32), -// m0inv: m0inv, -// }, -// output: { out: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] }, -// }]; -// -// -// for (var i = 0; i < testCases.length; i++) { -// const witness = await circuit.calculateWitness(testCases[i].input, true); -// -// await circuit.assertOut(witness, testCases[i].output); -// } -// }); -//}); -// -// +const path = require("path"); + +const bigInt = require("big-integer"); +const Scalar = require("ffjavascript").Scalar; +const tester = require("circom").tester; + +const { splitToArray } = require("./util.js"); + + +describe("Montgomery exponent 64bits/32words", function () { + this.timeout(100000); + + let circuit; + before(async () => { + circuit = await tester(path.join(__dirname, "circuits", "mont_exp.circom")); + }); + + it("64bits/32words. Montgomery exponent", async () => { + + const modulus = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); + + const m0inv = "12890617734997456953"; + + const sign = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); + + // p_A = (2 ** (64 * 32)) % modulus + const p_A = bigInt("1").shiftLeft(bigInt(64 * 32)).mod(modulus); + + // p_a = (a * r) % modulus + const p_a = sign.shiftLeft(bigInt(64 * 32)).mod(modulus); + + const result = sign.modPow(bigInt("65537"), modulus); + + + const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); + + var testCases = [{ + description: "calc powerMod", + input: { + // 1844674407370955161600 + p_a: splitToArray(p_a, 64, 32), + p_A: splitToArray(p_A, 64, 32), + + exp: 65537, + p: splitToArray(modulus, 64, 32), + m0ninv: m0inv, + }, + output: { out: splitToArray(result, 64, 32) }, + }]; + + + for (var i = 0; i < testCases.length; i++) { + const witness = await circuit.calculateWitness(testCases[i].input, true); + + await circuit.assertOut(witness, testCases[i].output); + } + }); +}); + + diff --git a/test/montgomery_reduction.js b/test/montgomery_reduction.js deleted file mode 100644 index d2cacf3..0000000 --- a/test/montgomery_reduction.js +++ /dev/null @@ -1,63 +0,0 @@ -//const path = require("path"); -// -//const bigInt = require("big-integer"); -//const Scalar = require("ffjavascript").Scalar; -//const tester = require("circom").tester; -// -//const { splitToArray } = require("./util.js"); -// -// -//describe("montgomery reduction 64bits/4words", function () { -// this.timeout(100000); -// -// let circuit; -// before(async () => { -// circuit = await tester(path.join(__dirname, "circuits", "montgomery_64_4.circom")); -// }); -// -// it("64bits/4words. and mod = 52435875175126190479447740508185965837690552500527637822603658699938581184513", async () => { -// -// const modulus = splitToArray(bigInt("52435875175126190479447740508185965837690552500527637822603658699938581184513"), 64, 4); -// const m0inv = "18446744069414584319"; -// -// -// var testCases = [{ -// description: "one word", -// input: { -// x: splitToArray(bigInt("1844674407370955161600"), 64, 4), -// y: splitToArray(bigInt("100"), 64, 4), -// // 52435875175126190479447740508185965837690552500527637822603658699938581184513 -// modulus: modulus, -// m0inv: "18446744069414584319", -// }, -// output: { out: [0, 0, 10000, 0] }, -// }, { -// description: "two words", -// input: { -// x: splitToArray(bigInt("184467440737095516161561654"), 64, 4), -// y: splitToArray(bigInt("184467440737095516161561654"), 64, 4), -// // 52435875175126190479447740508185965837690552500527637822603658699938581184513 -// modulus: modulus, -// m0inv: m0inv, -// }, -// output: { out: [2438763215716, 31233080000000, 100000000000000, 0] }, -// }, { -// description: "Four words", -// input: { -// x: ['9366702579560100036', '3153357315881433552', '1550162754830709279', '3363521531482743643'], -// y: splitToArray(bigInt("12389174593798789739243342131821798678432796312321"), 64, 4), -// // 52435875175126190479447740508185965837690552500527637822603658699938581184513 -// modulus: modulus, -// m0inv: m0inv, -// }, -// output: { out: ['11877590625878374308', '91176932193565308', '14825753355501141940', '4643043795916575606'] }, -// } -// ] -// -// -// for (var i = 0; i < testCases.length; i++) { -// const witness = await circuit.calculateWitness(testCases[i].input, true); -// await circuit.assertOut(witness, testCases[i].output); -// } -// }); -//}); diff --git a/test/montgomery_reduction_64_32.js b/test/montgomery_reduction_64_32.js index 25f9c38..fa53174 100644 --- a/test/montgomery_reduction_64_32.js +++ b/test/montgomery_reduction_64_32.js @@ -7,7 +7,7 @@ const tester = require("circom").tester; const { splitToArray } = require("./util.js"); -describe("montgomery reduction 64bits/32words. pls pass?", function () { +describe("montgomery reduction 64bits/32words.", function () { this.timeout(100000); let circuit; @@ -15,12 +15,12 @@ describe("montgomery reduction 64bits/32words. pls pass?", function () { circuit = await tester(path.join(__dirname, "circuits", "montgomery_64_32.circom")); }); - it("64bits/4words. and mod = 52435875175126190479447740508185965837690552500527637822603658699938581184513", async () => { + it("64bits/32words. and 2048bits modulus", async () => { const n = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); const m0ninv = "12890617734997456953"; - const sign = bigInt("15616512314484646512134"); + const sign = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326132375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072576833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); // p_A = (2 ** (64 * 32)) % modulus const p_A = bigInt("8090504373870994679612627222357908172758809628981258425784309037819139630322144671528165987384165881554828460235243846620448472971597333672100823634983655619029776040825234445735663391689708464300724937302764614255809108270510144580635273488990507929690660037680329790107264933452413195230785359054440855482839030680434847591404383105898217683831262927377177125853366529615844393994132094172487120401275260427990790479346279705147628336449313356516920320620281725278025278479103610090304469418605506553142667456793187284519065351481384226307824293012777494286385249767131477166992943622060450204816237194204381391317"); @@ -30,8 +30,6 @@ describe("montgomery reduction 64bits/32words. pls pass?", function () { const result = sign.multiply(sign).mod(n); - console.log("result", splitToArray(result, 64, 32)); - var testCases = [{ description: "one word", input: { @@ -41,13 +39,11 @@ describe("montgomery reduction 64bits/32words. pls pass?", function () { m0inv: m0ninv, }, output: { - out: splitToArray(result, 64, 32), + out: splitToArray(result, 64, 32) }, }] for (var i = 0; i < testCases.length; i++) { - console.log(testCases[i].input); - const witness = await circuit.calculateWitness(testCases[i].input, true); await circuit.assertOut(witness, testCases[i].output); diff --git a/test/montgomery_reduction_64_4.js b/test/montgomery_reduction_64_4.js deleted file mode 100644 index 65ed4a4..0000000 --- a/test/montgomery_reduction_64_4.js +++ /dev/null @@ -1,63 +0,0 @@ -//const path = require("path"); -// -//const bigInt = require("big-integer"); -//const Scalar = require("ffjavascript").Scalar; -//const tester = require("circom").tester; -// -//const { splitToArray } = require("./util.js"); -// -// -//describe("montgomery reduction 64bits/4words", function () { -// this.timeout(100000); -// -// let circuit; -// before(async () => { -// circuit = await tester(path.join(__dirname, "circuits", "montgomery_64_4.circom")); -// }); -// -// it("64bits/4words. and mod = 52435875175126190479447740508185965837690552500527637822603658699938581184513", async () => { -// -// const modulus = splitToArray(bigInt("52435875175126190479447740508185965837690552500527637822603658699938581184513"), 64, 4); -// const m0inv = "18446744069414584319"; -// -// -// var testCases = [{ -// description: "one word", -// input: { -// x: splitToArray(bigInt("1844674407370955161600"), 64, 4), -// y: splitToArray(bigInt("100"), 64, 4), -// // 52435875175126190479447740508185965837690552500527637822603658699938581184513 -// modulus: modulus, -// m0inv: m0inv, -// }, -// output: { out: [0, 0, 10000, 0] }, -// }, { -// description: "two words", -// input: { -// x: splitToArray(bigInt("184467440737095516161561654"), 64, 4), -// y: splitToArray(bigInt("184467440737095516161561654"), 64, 4), -// // 52435875175126190479447740508185965837690552500527637822603658699938581184513 -// modulus: modulus, -// m0inv: m0inv, -// }, -// output: { out: [2438763215716, 31233080000000, 100000000000000, 0] }, -// }, { -// description: "Four words", -// input: { -// x: ['9366702579560100036', '3153357315881433552', '1550162754830709279', '3363521531482743643'], -// y: splitToArray(bigInt("12389174593798789739243342131821798678432796312321"), 64, 4), -// // 52435875175126190479447740508185965837690552500527637822603658699938581184513 -// modulus: modulus, -// m0inv: m0inv, -// }, -// output: { out: ['11877590625878374308', '91176932193565308', '14825753355501141940', '4643043795916575606'] }, -// } -// ] -// -// -// for (var i = 0; i < testCases.length; i++) { -// const witness = await circuit.calculateWitness(testCases[i].input, true); -// await circuit.assertOut(witness, testCases[i].output); -// } -// }); -//}); diff --git a/test/normalize.js b/test/normalize.js index 856552d..55a7f8c 100644 --- a/test/normalize.js +++ b/test/normalize.js @@ -1,60 +1,64 @@ -//const path = require("path"); -// -//const bigInt = require("big-integer"); -//const Scalar = require("ffjavascript").Scalar; -//const tester = require("circom").tester; -// -//const { splitToArray } = require("./util.js"); -// -//function print(circuit, w, s) { -// console.log(s + ": " + w[circuit.getSignalIdx(s)]); -//} -// -// -//describe("normalize template test. a > modulus ? a - modulus : a", function () { -// -// this.timeout(100000); -// -// let circuit; -// before(async () => { -// circuit = await tester(path.join(__dirname, "circuits", "normalize.circom")); -// }); -// -// it("normalize template test", async () => { -// var testCases = [{ -// description: "One word. No need for sub", -// input: { -// a: splitToArray(bigInt("4"), 64, 8), -// modulus: splitToArray(bigInt("5"), 64, 8), -// }, -// output: { out: [4, 0, 0, 0, 0, 0, 0, 0] }, -// }, { -// description: "Two word. Need for sub", -// input: { -// a: splitToArray(bigInt("45613215616541654654"), 64, 8), -// modulus: splitToArray(bigInt("45613215616541654651"), 64, 8), -// }, -// output: { out: [3, 0, 0, 0, 0, 0, 0, 0] }, -// }, { -// description: "Three word. Need for sub", -// input: { -// a: splitToArray(bigInt("35165413564654612131346546516513054615640"), 64, 8), -// modulus: splitToArray(bigInt("35165413564654612131346546516513054615636"), 64, 8), -// }, -// output: { out: [4, 0, 0, 0, 0, 0, 0, 0] }, -// }, { -// description: "Eight word. Need for sub", -// input: { -// a: splitToArray(bigInt("3516541356445124321613556156315611321654561563153615613213156315615615612316156123132123132165156465132165465465411651656546126513054615644"), 64, 8), -// modulus: splitToArray(bigInt("3516541356445124321613556156311611321654561563153615613213156315615615612316156123132123132165156465132165465465411651656546126513054615640"), 64, 8), -// }, -// output: { out: [0, 0, 4, '10967461361298178048', '9489550332887426220', '11036400390711386231', '16220791373695979585', '1872670541876'] }, -// } -// ] -// -// for (var i = 0; i < testCases.length; i++) { -// const witness = await circuit.calculateWitness(testCases[i].input, true); -// await circuit.assertOut(witness, testCases[i].output); -// } -// }); -//}); +const path = require("path"); + +const bigInt = require("big-integer"); +const Scalar = require("ffjavascript").Scalar; +const tester = require("circom").tester; + +const { splitToArray } = require("./util.js"); + +function print(circuit, w, s) { + console.log(s + ": " + w[circuit.getSignalIdx(s)]); +} + + +describe("Normalize test. a > modulus ? a - modulus : a", function () { + + this.timeout(100000); + + let circuit; + before(async () => { + circuit = await tester(path.join(__dirname, "circuits", "normalize.circom")); + }); + + it("normalize template", async () => { + var testCases = [{ + description: "One word. No need for sub", + input: { + a: splitToArray(bigInt("4"), 64, 8), + modulus: splitToArray(bigInt("5"), 64, 8), + a_carry: 0, + }, + output: { out: [4, 0, 0, 0, 0, 0, 0, 0] }, + }, { + description: "Two word. Need for sub", + input: { + a: splitToArray(bigInt("45613215616541654654"), 64, 8), + modulus: splitToArray(bigInt("45613215616541654651"), 64, 8), + a_carry: 0, + }, + output: { out: [3, 0, 0, 0, 0, 0, 0, 0] }, + }, { + description: "Three word. Need for sub", + input: { + a: splitToArray(bigInt("35165413564654612131346546516513054615640"), 64, 8), + modulus: splitToArray(bigInt("35165413564654612131346546516513054615636"), 64, 8), + a_carry: 0, + }, + output: { out: [4, 0, 0, 0, 0, 0, 0, 0] }, + }, { + description: "Eight word. Need for sub", + input: { + a: splitToArray(bigInt("3516541356445124321613556156315611321654561563153615613213156315615615612316156123132123132165156465132165465465411651656546126513054615644"), 64, 8), + modulus: splitToArray(bigInt("3516541356445124321613556156311611321654561563153615613213156315615615612316156123132123132165156465132165465465411651656546126513054615640"), 64, 8), + a_carry: 0, + }, + output: { out: splitToArray((bigInt("3516541356445124321613556156315611321654561563153615613213156315615615612316156123132123132165156465132165465465411651656546126513054615644").subtract(bigInt("3516541356445124321613556156311611321654561563153615613213156315615615612316156123132123132165156465132165465465411651656546126513054615640"))), 64, 8) }, + } + ] + + for (var i = 0; i < testCases.length; i++) { + const witness = await circuit.calculateWitness(testCases[i].input, true); + await circuit.assertOut(witness, testCases[i].output); + } + }); +}); diff --git a/test/pow.js b/test/pow.js deleted file mode 100644 index 22f8130..0000000 --- a/test/pow.js +++ /dev/null @@ -1,41 +0,0 @@ -// const chai = require("chai"); -// const path = require("path"); -// const snarkjs = require("snarkjs"); -// const bigInt = require("big-integer"); -// const assert = chai.assert; - -// const compiler = require("circom"); - -// const { splitToWords, assertWitnessHas } = require("./util.js"); - -// chai.should(); - -// describe("PowerMod", () => { - -// var powmod_2048_256; -// //var powmod_2048_256; -// var p8 = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); - -// before(async () => { -// let cirDef = await compiler(path.join(__dirname, "circuits", "pow_mod.circom")); -// powmod_2048_256 = new snarkjs.Circuit(cirDef); -// }); - -// it("should compute powmod_2048_256) (64 bits, 32 words in base, exp = 65537)", () => { -// const m = p8; -// const b = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); -// const e = bigInt(65537); -// const input = Object.assign({}, -// splitToWords(b, 64, 32, "base"), -// splitToWords(e, 64, 32, "exp"), -// splitToWords(m, 64, 32, "modulus"), -// ); - - -// const witness = powmod_2048_256.calculateWitness(input); -// const expected = b.modPow(e, m); -// // console.log("expected----->", expected.toString()); -// assertWitnessHas(powmod_2048_256, witness, "out", expected, 64, 32); -// }); -// }); - diff --git a/test/rsa_verify.js b/test/rsa_verify.js index b0b8f7f..fd2d0fe 100644 --- a/test/rsa_verify.js +++ b/test/rsa_verify.js @@ -1,81 +1,100 @@ -//const chai = require("chai"); -//const path = require("path"); -//const snarkjs = require("snarkjs"); -//const bigInt = require("big-integer"); -//const assert = chai.assert; -// -//const compiler = require("circom"); -// -//const { splitToWords, assertWitnessHas } = require("./util.js"); -// -//chai.should(); -// -//describe("Rsa pkcs1v15 verify", () => { -// var rsa_pkvs1v15_circuit; -// -// before(async () => { -// let cirDef = await compiler(path.join(__dirname, "circuits", "rsa_verify.circom")); -// rsa_pkvs1v15_circuit = new snarkjs.Circuit(cirDef); -// }); -// -// -// it("2048 bits public key. correct sign. 1", () => { -// // public key params. decimal -// const modulus = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); -// const exp = bigInt(65537); -// // signature. decimal -// const sign = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); -// // hashed data. decimal -// const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); -// -// const input = Object.assign({}, -// splitToWords(sign, 64, 32, "sign"), -// splitToWords(exp, 64, 32, "exp"), -// splitToWords(modulus, 64, 32, "modulus"), -// splitToWords(hashed, 64, 4, "hashed"), -// ); -// -// const witness = rsa_pkvs1v15_circuit.calculateWitness(input); -// }); -// -// it("2048 bits public key. correct sign. 2", () => { -// // public key params. decimal -// const modulus = bigInt("24226501697440012621102249466312043787685293040734225606346036389705515508545746221669035424138747582133889500686654172873671086178893587422987328751464627501601101326475761646014534358699943642495332701081302954020983110372109611581202820849485662540890985814355975252780310958088652613376767040069489530039075302709233494829280591680666351811024913107949144932224439129715181798714328219977771472462901856297952813239115577652450722815852332547886777292613005505949100406231716599634852632308325816916535875123863510650526931916871614411907700873376659841257216885666098127478325534982891697988739616416855214839339"); -// const exp = bigInt(65537); -// // signature. decimal -// const sign = bigInt("18928545496959757512579438348223103860103247450097569223971486743312798156950374943336714741350742176674694049986481729075548718599712271054643150030165230392897481507710187505775911256946250999396358633095137650326818007610162375520522758780751710735664264200260854016867498935206556916247099180950775474524799944404833222133011134000549939512938205188018503377612813102061504146765520561811620128786062447005833886367575841545493555268747671930923697279690399480501746857825917608323993022396398648205737336204493624060285359455268389160802763426461171262704764369336704988874821898000892148693988241020931055723252"); -// // hashed data. decimal -// const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); -// -// const input = Object.assign({}, -// splitToWords(sign, 64, 32, "sign"), -// splitToWords(exp, 64, 32, "exp"), -// splitToWords(modulus, 64, 32, "modulus"), -// splitToWords(hashed, 64, 4, "hashed"), -// ); -// -// const witness = rsa_pkvs1v15_circuit.calculateWitness(input); -// }); -// -// it("2048 bits public key. uncorrect sign. ", () => { -// // public key params. decimal -// const modulus = bigInt("24226501697440012621102249466312043787685293040734225606346036389705515508545746221669035424138747582133889500686654172873671086178893587422987328751464627501601101326475761646014534358699943642495332701081302954020983110372109611581202820849485662540890985814355975252780310958088652613376767040069489530039075302709233494829280591680666351811024913107949144932224439129715181798714328219977771472462901856297952813239115577652450722815852332547886777292613005505949100406231716599634852632308325816916535875123863510650526931916871614411907700873376659841257216885666098127478325534982891697988739616416855214839339"); -// const exp = bigInt(65537); -// // signature. decimal -// const sign = bigInt("18928545496959756512579438348223103860103247450097569223971486743312798156950374943336714741350742176674694049986481729075548718599712271054643150030165230392897481507710187505775911256946250999396358633095137650326818007610162375520522758780751710735664264200260854016867498935206556916247099180950775474524799944404833222133011134000549939512938205188018503377612813102061504146765520561811620128786062447005833886367575841545493555268747671930923697279690399480501746857825917608323993022396398648205737336204493624060285359455268389160802763426461171262704764369336704988874821898000892148693988241020931055723252"); -// // hashed data. decimal -// const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); -// const input = Object.assign({}, -// splitToWords(sign, 64, 32, "sign"), -// splitToWords(exp, 64, 32, "exp"), -// splitToWords(modulus, 64, 32, "modulus"), -// splitToWords(hashed, 64, 4, "hashed"), -// ); -// -// (function () { -// const witness = rsa_pkvs1v15_circuit.calculateWitness(input); -// }.should.throw()); -// -// }); -//}); -// +const chai = require("chai"); +const path = require("path"); +const snarkjs = require("snarkjs"); +const bigInt = require("big-integer"); +const assert = chai.assert; +const tester = require("circom").tester; + + +const compiler = require("circom"); + +const { splitToWords, assertWitnessHas, splitToArray } = require("./util.js"); + +chai.should(); + +describe("Rsa pkcs1v15 verify", () => { + let circuit; + before(async () => { + circuit = await tester(path.join(__dirname, "circuits", "rsa_verify.circom")); + }); + + + it("2048 bits public key. correct sign. 1", async () => { + // public key params. decimal + const modulus = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); + const exp = 65537; + // signature. decimal + const sign = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); + // hashed data. decimal + const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); + + const p_a = sign.shiftLeft(bigInt(64 * 32)).mod(modulus); + const p_A = bigInt(1).shiftLeft(bigInt(64 * 32)).mod(modulus); + const m0ninv = "12890617734997456953"; + + const input = { + p_a: splitToArray(p_a, 64, 32), + p_A: splitToArray(p_A, 64, 32), + exp: exp, + p: splitToArray(modulus, 64, 32), + m0ninv: m0ninv, + hashed: splitToArray(hashed, 64, 4), + }; + const witness = circuit.calculateWitness(input, true); + }); + + it("2048 bits public key. correct sign. 2", () => { + // public key params. decimal + const modulus = bigInt("24226501697440012621102249466312043787685293040734225606346036389705515508545746221669035424138747582133889500686654172873671086178893587422987328751464627501601101326475761646014534358699943642495332701081302954020983110372109611581202820849485662540890985814355975252780310958088652613376767040069489530039075302709233494829280591680666351811024913107949144932224439129715181798714328219977771472462901856297952813239115577652450722815852332547886777292613005505949100406231716599634852632308325816916535875123863510650526931916871614411907700873376659841257216885666098127478325534982891697988739616416855214839339"); + const exp = bigInt(65537); + // signature. decimal + const sign = bigInt("18928545496959757512579438348223103860103247450097569223971486743312798156950374943336714741350742176674694049986481729075548718599712271054643150030165230392897481507710187505775911256946250999396358633095137650326818007610162375520522758780751710735664264200260854016867498935206556916247099180950775474524799944404833222133011134000549939512938205188018503377612813102061504146765520561811620128786062447005833886367575841545493555268747671930923697279690399480501746857825917608323993022396398648205737336204493624060285359455268389160802763426461171262704764369336704988874821898000892148693988241020931055723252"); + // hashed data. decimal + const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); + + const p_a = sign.shiftLeft(bigInt(64 * 32)).mod(modulus); + const p_A = bigInt(1).shiftLeft(bigInt(64 * 32)).mod(modulus); + const m0ninv = "4736324870124914557"; + + const input = { + p_a: splitToArray(p_a, 64, 32), + p_A: splitToArray(p_A, 64, 32), + exp: exp, + p: splitToArray(modulus, 64, 32), + m0ninv: m0ninv, + hashed: splitToArray(hashed, 64, 4), + }; + + const witness = circuit.calculateWitness(input, true); + }); + + it("2048 bits public key. uncorrect sign. ", () => { + // public key params. decimal + const modulus = bigInt("24226501697440012621102249466312043787685293040734225606346036389705515508545746221669035424138747582133889500686654172873671086178893587422987328751464627501601101326475761646014534358699943642495332701081302954020983110372109611581202820849485662540890985814355975252780310958088652613376767040069489530039075302709233494829280591680666351811024913107949144932224439129715181798714328219977771472462901856297952813239115577652450722815852332547886777292613005505949100406231716599634852632308325816916535875123863510650526931916871614411907700873376659841257216885666098127478325534982891697988739616416855214839339"); + const exp = bigInt(65537); + // signature. decimal + const sign = bigInt("18928545496959756512579438348223103860103247450097569223971486743312798156950374943336714741350742176674694049986481729075548718599712271054643150030165230392897481507710187505775911256946250999396358633095137650326818007610162375520522758780751710735664264200260854016867498935206556916247099180950775474524799944404833222133011134000549939512938205188018503377612813102061504146765520561811620128786062447005833886367575841545493555268747671930923697279690399480501746857825917608323993022396398648205737336204493624060285359455268389160802763426461171262704764369336704988874821898000892148693988241020931055723252"); + // hashed data. decimal + const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); + + + const p_a = sign.shiftLeft(bigInt(64 * 32)).mod(modulus); + const p_A = bigInt(1).shiftLeft(bigInt(64 * 32)).mod(modulus); + const m0ninv = "4736324870124914557"; + + const input = { + p_a: splitToArray(p_a, 64, 32), + p_A: splitToArray(p_A, 64, 32), + exp: exp, + p: splitToArray(modulus, 64, 32), + m0ninv: m0ninv, + hashed: splitToArray(hashed, 64, 4), + }; + + (function () { + const witness = rsa_pkvs1v15_circuit.calculateWitness(input); + }.should.throw()); + + }); +}); + diff --git a/test/util.js b/test/util.js index 68c3155..f665e90 100644 --- a/test/util.js +++ b/test/util.js @@ -8,7 +8,7 @@ function splitToArray(x, w, n) { var words = new Array(w); for (let i = 0; i < n; ++i) { // words[`${name}[${i}]`] = `${t.mod(bigInt(2).pow(w))}`; - words[n - 1 - i] = `${t.mod(bigInt(2).pow(w))}`; + words[i] = `${t.mod(bigInt(2).pow(w))}`; t = t.divide(bigInt(2).pow(w)); } if (!t.isZero()) { From 15eade81c6c112074a274d9e70d3a8a6678c6cea Mon Sep 17 00:00:00 2001 From: jacksoom Date: Mon, 23 Aug 2021 21:18:20 +0800 Subject: [PATCH 11/15] add constraints in circuits --- README.md | 2 - circuits/mont_exp.circom | 26 +- circuits/montgomery.circom | 27 +- circuits/rsa_verify.circom | 10 +- package-lock.json | 18874 +++++++++++++++++++++++++---------- package.json | 1 + test/rsa_verify.js | 1 + 7 files changed, 13634 insertions(+), 5307 deletions(-) diff --git a/README.md b/README.md index 2ae7d05..23d888a 100644 --- a/README.md +++ b/README.md @@ -22,5 +22,3 @@ Circuit infomation 1. [Montgomery modular multiplication](https://en.wikipedia.org/wiki/Montgomery_modular_multiplication) 2. [Arithmetic of Finite Fields](https://www.researchgate.net/publication/319538235_Arithmetic_of_Finite_Fields) - - diff --git a/circuits/mont_exp.circom b/circuits/mont_exp.circom index 7e47793..3bd6495 100644 --- a/circuits/mont_exp.circom +++ b/circuits/mont_exp.circom @@ -22,10 +22,10 @@ template mont_exp(w, nb) { for (var i = 0; i < e_bits + 2 ; i++) { montPrs[i] = mont_cios(w, nb); - montPrs[i].m0inv <-- m0ninv; + montPrs[i].m0inv <== m0ninv; for (var j = 0; j < nb; j++) { - montPrs[i].modulus[j] <-- p[j]; + montPrs[i].modulus[j] <== p[j]; } } @@ -33,13 +33,13 @@ template mont_exp(w, nb) { for (var i = 0; i < e_bits; i++) { if (i == 0) { for (var j = 0; j < nb; j++) { - montPrs[mont_index].x[j] <-- p_A[j]; - montPrs[mont_index].y[j] <-- p_A[j]; + montPrs[mont_index].x[j] <== p_A[j]; + montPrs[mont_index].y[j] <== p_A[j]; } } else { for (var j = 0; j < nb; j++) { - montPrs[mont_index].x[j] <-- montPrs[mont_index - 1].out[j]; - montPrs[mont_index].y[j] <-- montPrs[mont_index - 1].out[j]; + montPrs[mont_index - 1].out[j] ==> montPrs[mont_index].x[j]; + montPrs[mont_index - 1].out[j] ==> montPrs[mont_index].y[j]; } } @@ -47,8 +47,8 @@ template mont_exp(w, nb) { if (i == 0 || i == (e_bits - 1)) { for (var j = 0; j < nb; j++) { - montPrs[mont_index].x[j] <-- montPrs[mont_index - 1].out[j]; - montPrs[mont_index].y[j] <-- p_a[j]; + montPrs[mont_index - 1].out[j] ==> montPrs[mont_index].x[j]; + montPrs[mont_index].y[j] <== p_a[j]; } mont_index ++; @@ -57,20 +57,20 @@ template mont_exp(w, nb) { component resultMontPr = mont_cios(w, nb); - resultMontPr.m0inv <-- m0ninv; + resultMontPr.m0inv <== m0ninv; for (var i = 0; i < nb; i++) { - resultMontPr.modulus[i] <-- p[i]; - resultMontPr.x[i] <-- montPrs[mont_index - 1].out[i]; + resultMontPr.modulus[i] <== p[i]; + montPrs[mont_index - 1].out[i] ==> resultMontPr.x[i]; var t = 0; if (i == 0) { t = 1; } - resultMontPr.y[i] <-- t; + resultMontPr.y[i] <== t; } for (var i = 0; i < nb; i ++) { - out[i] <-- resultMontPr.out[i]; + resultMontPr.out[i] ==> out[i]; } } diff --git a/circuits/montgomery.circom b/circuits/montgomery.circom index d82a6cb..dbfb84f 100644 --- a/circuits/montgomery.circom +++ b/circuits/montgomery.circom @@ -13,15 +13,15 @@ template mont_mul(w, nb) { component montPr = mont_cios(w, nb); for (var i = 0; i < nb; i++) { - montPr.x[i] <-- pre_compute_a[i]; - montPr.y[i] <-- b[i]; - montPr.modulus[i] <-- modulus[i]; + montPr.x[i] <== pre_compute_a[i]; + montPr.y[i] <== b[i]; + montPr.modulus[i] <== modulus[i]; - montPr.m0inv <-- m0inv; + montPr.m0inv <== m0inv; } for (var i = 0; i < nb; i++) { - out[i] <-- montPr.out[i]; + montPr.out[i] ==> out[i]; } } @@ -42,8 +42,6 @@ template mont_cios(w, nb) { temps[i] = 0; } - - var temp = 0; // 0b1111111111111111111111111111111111111111111111111111111111111111 var lo_64_bit_var = (1 << w) - 1; @@ -88,12 +86,13 @@ template mont_cios(w, nb) { temps[nb] = C + temps[nb + 1]; } - component normal = normalize(w, nb); - normal.a_carry <-- temps[nb]; - for (var i = 0; i< nb; i++) { - normal.a[i] <-- temps[i]; - normal.modulus[i] <-- modulus[i]; - } + component normal = normalize(w, nb); + normal.a_carry <-- temps[nb]; + + for (var i = 0; i < nb; i++) { + normal.a[i] <-- temps[i]; + normal.modulus[i] <-- modulus[i]; + } for (var i = 0; i < nb; i++) { @@ -157,7 +156,7 @@ template normalize(w, nb) { } for (var i = 0; i< nb; i++) { - out[i] <-- t[i]; + out[i] <== t[i]; } } diff --git a/circuits/rsa_verify.circom b/circuits/rsa_verify.circom index 8bb75d4..84da769 100644 --- a/circuits/rsa_verify.circom +++ b/circuits/rsa_verify.circom @@ -17,13 +17,13 @@ template RsaVerifyPkcs1v15(w, nb, hashLen) { // sign ** exp mod modulus component pm = mont_exp(w, nb); - pm.exp <-- exp; - pm.m0ninv <-- m0ninv; + pm.exp <== exp; + pm.m0ninv <== m0ninv; for (var i = 0; i < nb; i++) { - pm.p_a[i] <-- p_a[i]; - pm.p_A[i] <-- p_A[i]; - pm.p[i] <-- p[i]; + pm.p_a[i] <== p_a[i]; + pm.p_A[i] <== p_A[i]; + pm.p[i] <== p[i]; } // 1. Check hashed data diff --git a/package-lock.json b/package-lock.json index e835043..e0546ae 100644 --- a/package-lock.json +++ b/package-lock.json @@ -10,6 +10,7 @@ "license": "GPL-3.0", "dependencies": { "circom": "^0.5.45", + "jest": "^27.0.6", "node-rsa": "^1.1.1", "npm": "^7.20.1", "test": "^0.6.0" @@ -25,7 +26,6 @@ "version": "7.14.5", "resolved": "https://registry.npmjs.org/@babel/code-frame/-/code-frame-7.14.5.tgz", "integrity": "sha512-9pzDqyc6OLDaqe+zbACgFkb6fKMNG6CObKpnYXChRsvYGyEdc7CA2BaqeOM+vOtCS5ndmJicPJhKAwYRI6UfFw==", - "dev": true, "dependencies": { "@babel/highlight": "^7.14.5" }, @@ -33,429 +33,494 @@ "node": ">=6.9.0" } }, - "node_modules/@babel/helper-validator-identifier": { - "version": "7.14.8", - "resolved": "https://registry.npmjs.org/@babel/helper-validator-identifier/-/helper-validator-identifier-7.14.8.tgz", - "integrity": "sha512-ZGy6/XQjllhYQrNw/3zfWRwZCTVSiBLZ9DHVZxn9n2gip/7ab8mv2TWlKPIBk26RwedCBoWdjLmn+t9na2Gcow==", - "dev": true, + "node_modules/@babel/compat-data": { + "version": "7.15.0", + "resolved": "https://registry.npmjs.org/@babel/compat-data/-/compat-data-7.15.0.tgz", + "integrity": "sha512-0NqAC1IJE0S0+lL1SWFMxMkz1pKCNCjI4tr2Zx4LJSXxCLAdr6KyArnY+sno5m3yH9g737ygOyPABDsnXkpxiA==", "engines": { "node": ">=6.9.0" } }, - 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"https://registry.npmjs.org/yallist/-/yallist-4.0.0.tgz", + "integrity": "sha512-3wdGidZyq5PB084XLES5TpOSRA3wjXAlIWMhum2kRcv/41Sn2emQ0dycQW4uZXLejwKvg6EsvbdlVL+FYEct7A==" + }, "yargs": { "version": "12.0.5", "resolved": "https://registry.npmjs.org/yargs/-/yargs-12.0.5.tgz", diff --git a/package.json b/package.json index 841e20e..8fadd3f 100644 --- a/package.json +++ b/package.json @@ -24,6 +24,7 @@ "license": "GPL-3.0", "dependencies": { "circom": "^0.5.45", + "jest": "^27.0.6", "node-rsa": "^1.1.1", "npm": "^7.20.1", "test": "^0.6.0" diff --git a/test/rsa_verify.js b/test/rsa_verify.js index fd2d0fe..169cbb7 100644 --- a/test/rsa_verify.js +++ b/test/rsa_verify.js @@ -40,6 +40,7 @@ describe("Rsa pkcs1v15 verify", () => { m0ninv: m0ninv, hashed: splitToArray(hashed, 64, 4), }; + const witness = circuit.calculateWitness(input, true); }); From b91b4dee97bde7fada88373819d838653b3f6135 Mon Sep 17 00:00:00 2001 From: jacksoom Date: Mon, 30 Aug 2021 14:01:42 +0800 Subject: [PATCH 12/15] add div --- circuits/div.circom | 80 ++++++++++++++++++++++++++++++++++++++ circuits/montgomery.circom | 52 +++++++++++++------------ circuits/mul.circom | 57 +++++++++++++++++++++++++++ circuits/sub.circom | 46 ++++++++++++++++++++++ test/circuits/mul.circom | 3 ++ test/circuits/sub.circom | 3 ++ test/mul.js | 49 +++++++++++++++++++++++ test/sub.js | 44 +++++++++++++++++++++ 8 files changed, 310 insertions(+), 24 deletions(-) create mode 100644 circuits/div.circom create mode 100644 circuits/mul.circom create mode 100644 circuits/sub.circom create mode 100644 test/circuits/mul.circom create mode 100644 test/circuits/sub.circom create mode 100644 test/mul.js create mode 100644 test/sub.js diff --git a/circuits/div.circom b/circuits/div.circom new file mode 100644 index 0000000..17a38d4 --- /dev/null +++ b/circuits/div.circom @@ -0,0 +1,80 @@ +include "./sub.circom" + +template divisible(w, n) { + signal input a[n]; + // b == n / 2 * w bits + signal input b[n]; + + // signal output divisible_res; + + var t[n]; + t[0] = a[0]; + + for (var i = 1; i < n; i++) { + t[i] = a[i] + (t[i - 1] >> w); + } + + + var lo_bit_var = (1 << w) - 1; + // 0b1000000000000000000000000000000000000000000000000000000000000000 + var highest = 1 << (w - 1); + + for (var i = 0; i < n; i++) { + t[i] = t[i] & lo_bit_var; + } + + var t_b_lsh_c[n]; + + var c = n / 2; + for (var i = 0; i < c; i++) { + t_b_lsh_c[i] = 0; + } + // b << (w * c) + for (var i = c; i < n; i++) { + t_b_lsh_c[i] = b[c - i]; + } + + // rsh 1 + for (var i = 0; i < n - 1; i++) { + t_b_lsh_c[i] = t_b_lsh_c[i] >> 1; + if ((t_b_lsh_c[i + 1] & 1) == 1) { + t_b_lsh_c[i] = t_b_lsh_c[i] ^ highest; + } + } + + t_b_lsh_c[n - 1] = t_b_lsh_c[n - 1] >> 1; + + var normalizes[w * n]; + component normalizes = normalize(w, n); + for (var i = 0; i < w * n; i++) { + normalizes[i] = normalize(w, n); + } + + for (var i = 0; i < n; i++) { + normalizes[0].a[i] <== a[i]; + normalizes[0].modulus[i] <== t_b_lsh_c[i]; + normalizes.a_carry <== 0; + } + + for (var i = 1; i < n; i++) { + // rsh 1 + for (var i = 0; i < n - 1; i++) { + t_b_lsh_c[i] = t_b_lsh_c[i] >> 1; + if ((t_b_lsh_c[i + 1] & 1) == 1) { + t_b_lsh_c[i] = t_b_lsh_c[i] ^ highest; + } + } + + t_b_lsh_c[n - 1] = t_b_lsh_c[n - 1] >> 1; + + for (j = 0; j < n; j++) { + normalizes[i].a[j] <== normalizes[i - 1].out[j]; + normalizes[i].modulus[j] <== t_b_lsh_c[j]; + normalizes.a_carry <== 0; + } + } + + for (var i = 0; i < n; i++) { + normalizes.out[i] === 0; + } +} diff --git a/circuits/montgomery.circom b/circuits/montgomery.circom index dbfb84f..b65aa5b 100644 --- a/circuits/montgomery.circom +++ b/circuits/montgomery.circom @@ -1,3 +1,6 @@ +include "../circomlib/circuits/bitify.circom" +include "./mul.circom" +include "./sub.circom" // montrygomery production alg. Currently // w = 64 // nb is the length of the number input @@ -29,12 +32,15 @@ template mont_mul(w, nb) { // Souce paper from https://www.microsoft.com/en-us/research/wp-content/uploads/1998/06/97Acar.pdf // (x * y) mod modulus template mont_cios(w, nb) { + signal input x_raw[nb]; + signal input x[nb]; signal input y[nb]; signal input modulus[nb]; signal input m0inv; + signal output out[nb]; var temps[nb + 2]; @@ -48,6 +54,7 @@ template mont_cios(w, nb) { // TODO: add constraint for (m0inv * modulus[0]) % (1 << w) ≡ -1 + // Witness computation var C = 0; for (var i = 0; i < nb; i++) { C = 0; @@ -86,6 +93,7 @@ template mont_cios(w, nb) { temps[nb] = C + temps[nb + 1]; } + // verify component normal = normalize(w, nb); normal.a_carry <-- temps[nb]; @@ -94,10 +102,18 @@ template mont_cios(w, nb) { normal.modulus[i] <-- modulus[i]; } - for (var i = 0; i < nb; i++) { - out[i] <-- normal.out[i]; + out[i] <== normal.out[i]; + } + + // Verify that the remainder and quotient are w-bits, n-chunks. + component prodDecomp[nb]; + for (var i = 0; i < nb; i++) { + prodDecomp[i] = Num2Bits(w); + prodDecomp[i].in <== normal.out[i]; } + + // TODO: constraints (x_raw * y) - out divisible modulus } // a > modulus ? a - modulus : a; @@ -108,6 +124,7 @@ template normalize(w, nb) { signal output out[nb]; + signal output has_sub; // check a greater than modulus var needSub = 2; @@ -124,6 +141,8 @@ template normalize(w, nb) { } } } + + has_sub <== 1; var borrow = 0; @@ -136,7 +155,7 @@ template normalize(w, nb) { } var carry_v = 1 << w; - if (needSub == 1) { + if (needSub != 0) { for (var i = 0; i < nb; i++) { temp = a[i]; if (i == nb - 1 && a_carry == 1) { @@ -158,28 +177,13 @@ template normalize(w, nb) { for (var i = 0; i< nb; i++) { out[i] <== t[i]; } -} - -// return a - b -function sub(a, b, nb, w) { - var borrow = 0; - var temp = 0; - var out[nb]; - for (var i = 0; i< nb; i++) { - temp = a[i]; - if (borrow == 1) { - temp--; - } - - if (((temp == 0) && (b[i] > 0 || borrow == 1)) || temp < b[i]) { - borrow = 1; - temp += 1 << (w + 1); - } - - out[i] = temp - b[i]; - } - return out; +// // TODO: conditions +// if (has_sub == 1) { +// // out + modulus = a +// }else { +// // out == a +// } } diff --git a/circuits/mul.circom b/circuits/mul.circom new file mode 100644 index 0000000..2042b22 --- /dev/null +++ b/circuits/mul.circom @@ -0,0 +1,57 @@ +include "../circomlib/circuits/bitify.circom" + +template AsymmetricPolynomialMultiplier(d0, d1) { + // Implementation of _xjSnark_'s multiplication. + // Parameters/Inputs: + // * `in0` with degree less than `d0` + // * `in1` with degree less than `d1` + // Uses a linear number of constraints ($d0 + d1 - 1$). + signal input in0[d0]; + signal input in1[d1]; + + // Output has degree less than `d` + var d = d0 + d1 - 1; + var res = sss(in0, in1); + res[0] === 1; + // Witness value. + signal output out[d]; + + // Witness computation. + var acc; + for (var i = 0; i < d; i++) { + acc = 0; + var start = 0; + if (d1 < i + 1) { + start = i + 1 - d1; + } + for (var j = start; j < d0 && j <= i; j++) { + var k = i - j; + acc += in0[j] * in1[k]; + } + out[i] <-- acc; + } + + // Conditions. + var in0Val; + var in1Val; + var outVal; + for (var c = 0; c < d; c++) { + in0Val = 0; + in1Val = 0; + outVal = 0; + for (var i = 0; i < d0; i++) { + in0Val += (c + 1) ** i * in0[i]; + } + + for (var i = 0; i < d1; i++) { + in1Val += (c + 1) ** i * in1[i]; + } + + for (var i = 0; i < d; i++) { + outVal += (c + 1) ** i * out[i]; + } + + in0Val * in1Val === outVal; + } +} + diff --git a/circuits/sub.circom b/circuits/sub.circom new file mode 100644 index 0000000..5d29190 --- /dev/null +++ b/circuits/sub.circom @@ -0,0 +1,46 @@ +include "../circomlib/circuits/bitify.circom" + + +template Sub(w, n1, n2) { + signal input x[n1]; + signal input y[n2]; + + signal output out[n1]; + + // assert n1 >= n2 + + // Witness computation + var borrow = 0; + var temp = 0; + var carry_v = 1 << w; + + var t[n1]; + // out = a + for (var i = 0;i < n1; i++) { + t[i] = x[i]; + } + + + for (var i = 0; i < n1; i++) { + if (i < n2) { + temp = y[i]; + } else { + temp = 0; + } + + if (x[i] < (temp + borrow)) { + t[i] = x[i] - temp - borrow + carry_v; + borrow = 1; + } else { + t[i] = x[i] - temp - borrow; + borrow = 0; + } + } + + for (var i = 0; i < n1; i++) { + out[i] <== t[i]; + } + + // Constraints conditions + // TODO: x + y === out +} diff --git a/test/circuits/mul.circom b/test/circuits/mul.circom new file mode 100644 index 0000000..adcaedc --- /dev/null +++ b/test/circuits/mul.circom @@ -0,0 +1,3 @@ +include "../../circuits/mul.circom" + +component main = AsymmetricPolynomialMultiplier(32, 32); diff --git a/test/circuits/sub.circom b/test/circuits/sub.circom new file mode 100644 index 0000000..bc55b6b --- /dev/null +++ b/test/circuits/sub.circom @@ -0,0 +1,3 @@ +include "../../circuits/sub.circom" + +component main = Sub(64, 32, 32); \ No newline at end of file diff --git a/test/mul.js b/test/mul.js new file mode 100644 index 0000000..0ba33c5 --- /dev/null +++ b/test/mul.js @@ -0,0 +1,49 @@ +const path = require("path"); + +const bigInt = require("big-integer"); +const Scalar = require("ffjavascript").Scalar; +const tester = require("circom").tester; + +const { splitToArray } = require("./util.js"); + + +describe("Montgomery exponent 64bits/32words111111", function () { + this.timeout(100000); + + let circuit; + before(async () => { + circuit = await tester(path.join(__dirname, "circuits", "mul.circom")); + }); + + it("64bits/1words. Polynomial Multiplier", async () => { + + const x = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); + + const y = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); + + const result = x.multiply(y); + var testCases = [{ + description: "calc powerMod", + input: { + // 1844674407370955161600 + in0: splitToArray(x, 64, 32), + in1: splitToArray(y, 64, 32), + + }, + output: { out: [ + "184844210027151388892934458841320724129", + "458877555447551606985976398272636369790", + "310847914647051799709057266981032763843", + "68158120836031314442767057703068634816", + "501339735894090405155201467959470373683" + ] }, + }]; + + + for (var i = 0; i < testCases.length; i++) { + const witness = await circuit.calculateWitness(testCases[i].input, true); + + await circuit.assertOut(witness, testCases[i].output); + } + }); +}); diff --git a/test/sub.js b/test/sub.js new file mode 100644 index 0000000..6f14023 --- /dev/null +++ b/test/sub.js @@ -0,0 +1,44 @@ +// const path = require("path"); + +const bigInt = require("big-integer"); +const Scalar = require("ffjavascript").Scalar; +const tester = require("circom").tester; + +const { splitToArray } = require("./util.js"); + + +describe("big int sub test", function () { + this.timeout(100000); + + let circuit; + before(async () => { + circuit = await tester(path.join(__dirname, "circuits", "sub.circom")); + }); + + it("64bits/1words. Polynomial Multiplier", async () => { + + const x = bigInt("1"); + + const y = bigInt("1"); + + const result = x.multiply(y); + var testCases = [{ + description: "calc powerMod", + input: { + // 1844674407370955161600 + x: splitToArray(x, 64, 32), + y: splitToArray(y, 64, 32), + + }, + output: { out: splitToArray(x.subtract(y), 64, 1) }, + }]; + + + for (var i = 0; i < testCases.length; i++) { + const witness = await circuit.calculateWitness(testCases[i].input, true); + + await circuit.assertOut(witness, testCases[i].output); + } + }); +}); + From e0212fd01aae025d607ae6df8af0f3a2b3502f81 Mon Sep 17 00:00:00 2001 From: jacksoom Date: Mon, 13 Sep 2021 08:41:51 +0800 Subject: [PATCH 13/15] div --- circuits/div.circom | 150 +++++++++++++++++++++-------- circuits/montgomery.circom | 53 +++++++--- circuits/mul.circom | 2 - test/circuits/div.circom | 3 + test/div.js | 40 ++++++++ test/montgomery_reduction_64_32.js | 1 + 6 files changed, 191 insertions(+), 58 deletions(-) create mode 100644 test/circuits/div.circom create mode 100644 test/div.js diff --git a/circuits/div.circom b/circuits/div.circom index 17a38d4..5c53478 100644 --- a/circuits/div.circom +++ b/circuits/div.circom @@ -1,20 +1,22 @@ -include "./sub.circom" - -template divisible(w, n) { +// constraint (a - remainder) % b = 0 +template Divisible(w, n) { signal input a[n]; // b == n / 2 * w bits signal input b[n]; + signal input remainder[n]; + + signal out[n]; // signal output divisible_res; - var t[n]; + var t[n + 1]; t[0] = a[0]; for (var i = 1; i < n; i++) { t[i] = a[i] + (t[i - 1] >> w); } - + // witness var lo_bit_var = (1 << w) - 1; // 0b1000000000000000000000000000000000000000000000000000000000000000 var highest = 1 << (w - 1); @@ -23,58 +25,124 @@ template divisible(w, n) { t[i] = t[i] & lo_bit_var; } - var t_b_lsh_c[n]; + var t_b_lsh_c[n + 1]; - var c = n / 2; - for (var i = 0; i < c; i++) { - t_b_lsh_c[i] = 0; - } + var c = n \ 2; // b << (w * c) - for (var i = c; i < n; i++) { - t_b_lsh_c[i] = b[c - i]; - } - - // rsh 1 - for (var i = 0; i < n - 1; i++) { - t_b_lsh_c[i] = t_b_lsh_c[i] >> 1; - if ((t_b_lsh_c[i + 1] & 1) == 1) { - t_b_lsh_c[i] = t_b_lsh_c[i] ^ highest; + for (var i = 0; i < n; i++) { + if (i < c) { + t_b_lsh_c[i] = 0; + } else { + t_b_lsh_c[i] = b[i - c]; } } + t_b_lsh_c[n] = 0; - t_b_lsh_c[n - 1] = t_b_lsh_c[n - 1] >> 1; - - var normalizes[w * n]; - component normalizes = normalize(w, n); + var temp; + // // rsh 1 + component normalizes[w * n]; for (var i = 0; i < w * n; i++) { normalizes[i] = normalize(w, n); + normalizes[i].a_carry <== 0; + + if (i == 0) { + for (var j = 0; j < n; j++) { + normalizes[i].a[j] <== a[j]; + normalizes[i].modulus[j] <-- b[j]; + } + } else { + for (var j = 0; j < n; j++) { + normalizes[i].a[j] <-- normalizes[i - 1].out[j]; + normalizes[i].modulus[j] <-- t_b_lsh_c[j]; + } + // rsh 1 + for (var j = 0; j < n; j++) { + if (t_b_lsh_c[j] != 0) { + t_b_lsh_c[j] = t_b_lsh_c[j] >> 1; + } + + if ((t_b_lsh_c[j + 1] & 1) == 1) { + t_b_lsh_c[j] = t_b_lsh_c[j] ^ highest; + } + } + } } for (var i = 0; i < n; i++) { - normalizes[0].a[i] <== a[i]; - normalizes[0].modulus[i] <== t_b_lsh_c[i]; - normalizes.a_carry <== 0; + normalizes[w * n - 1].out[i] === remainder[i]; } +} - for (var i = 1; i < n; i++) { - // rsh 1 - for (var i = 0; i < n - 1; i++) { - t_b_lsh_c[i] = t_b_lsh_c[i] >> 1; - if ((t_b_lsh_c[i + 1] & 1) == 1) { - t_b_lsh_c[i] = t_b_lsh_c[i] ^ highest; + + +// a > modulus ? a - modulus : a; +template normalize(w, nb) { + signal input a[nb]; + signal input modulus[nb]; + signal input a_carry; + + + signal output out[nb]; + signal output has_sub; + + // check a greater than modulus + var needSub = 2; + if (a_carry == 1) { + needSub = 1; + }else { + for (var i = nb - 1; i >= 0; i--) { + if(a[i] > modulus[i] && needSub == 2) { + needSub = 1; } - } - t_b_lsh_c[n - 1] = t_b_lsh_c[n - 1] >> 1; - - for (j = 0; j < n; j++) { - normalizes[i].a[j] <== normalizes[i - 1].out[j]; - normalizes[i].modulus[j] <== t_b_lsh_c[j]; - normalizes.a_carry <== 0; + if (a[i] < modulus[i] && needSub == 2) { + needSub = 0; + } } } - for (var i = 0; i < n; i++) { - normalizes.out[i] === 0; + has_sub <== 1; + + var borrow = 0; + var temp = 0; + + var t[nb]; + // out = a + for (var i = 0;i < nb; i++) { + t[i] = a[i]; + } + + var carry_v = 1 << w; + + if (needSub != 0) { + for (var i = 0; i < nb; i++) { + temp = a[i]; + if (i == nb - 1 && a_carry == 1) { + temp += carry_v; + } + + if (temp < (modulus[i] + borrow)) { + temp += (carry_v - borrow); + borrow = 1; + }else { + temp = temp - borrow; + borrow = 0 + } + + t[i] = temp - modulus[i]; + } } + + for (var i = 0; i< nb; i++) { + out[i] <== t[i]; + } + + +// // TODO: conditions +// if (has_sub == 1) { +// // out + modulus = a +// }else { +// // out == a +// } } + diff --git a/circuits/montgomery.circom b/circuits/montgomery.circom index b65aa5b..7ffad5f 100644 --- a/circuits/montgomery.circom +++ b/circuits/montgomery.circom @@ -1,6 +1,7 @@ include "../circomlib/circuits/bitify.circom" -include "./mul.circom" include "./sub.circom" +include "./mul.circom" +include "./div.circom" // montrygomery production alg. Currently // w = 64 // nb is the length of the number input @@ -95,11 +96,11 @@ template mont_cios(w, nb) { // verify component normal = normalize(w, nb); - normal.a_carry <-- temps[nb]; + normal.a_carry <== temps[nb]; for (var i = 0; i < nb; i++) { - normal.a[i] <-- temps[i]; - normal.modulus[i] <-- modulus[i]; + normal.a[i] <== temps[i]; + normal.modulus[i] <== modulus[i]; } for (var i = 0; i < nb; i++) { @@ -114,6 +115,36 @@ template mont_cios(w, nb) { } // TODO: constraints (x_raw * y) - out divisible modulus + component mul_xy = AsymmetricPolynomialMultiplier(nb, nb); + for (var i = 0; i < nb; i++) { + mul_xy.in0[i] <== x_raw[i]; + mul_xy.in1[i] <== y[i]; + } + + var doubleN = 2 * nb; + + component divisible = Divisible(w, doubleN); + for (var i = 0; i < doubleN - 1; i++) { + divisible.a[i] <== mul_xy.out[i]; + } + + divisible.a[doubleN - 1] <== 0; + + for (var i = 0; i < nb; i++) { + divisible.b[i] <== modulus[i]; + } + + for (var i = nb; i < doubleN; i++) { + divisible.b[i] <== 0; + } + + for (var i = 0; i < nb; i++) { + divisible.remainder[i] <== out[i]; + } + + for (var i = nb; i < doubleN; i++) { + divisible.remainder[i] <== 0; + } } // a > modulus ? a - modulus : a; @@ -124,14 +155,15 @@ template normalize(w, nb) { signal output out[nb]; - signal output has_sub; + + signal has_sub; // check a greater than modulus var needSub = 2; if (a_carry == 1) { needSub = 1; }else { - for (var i = nb - 1; i >= 0; i--) { + for (var i = nb - 1; i >= 0; i==) { if(a[i] > modulus[i] && needSub == 2) { needSub = 1; } @@ -143,7 +175,6 @@ template normalize(w, nb) { } has_sub <== 1; - var borrow = 0; var temp = 0; @@ -177,13 +208,5 @@ template normalize(w, nb) { for (var i = 0; i< nb; i++) { out[i] <== t[i]; } - - -// // TODO: conditions -// if (has_sub == 1) { -// // out + modulus = a -// }else { -// // out == a -// } } diff --git a/circuits/mul.circom b/circuits/mul.circom index 2042b22..a5131ca 100644 --- a/circuits/mul.circom +++ b/circuits/mul.circom @@ -11,8 +11,6 @@ template AsymmetricPolynomialMultiplier(d0, d1) { // Output has degree less than `d` var d = d0 + d1 - 1; - var res = sss(in0, in1); - res[0] === 1; // Witness value. signal output out[d]; diff --git a/test/circuits/div.circom b/test/circuits/div.circom new file mode 100644 index 0000000..a0e69ac --- /dev/null +++ b/test/circuits/div.circom @@ -0,0 +1,3 @@ +include "../../circuits/div.circom" + +component main = Divisible(64, 64); \ No newline at end of file diff --git a/test/div.js b/test/div.js new file mode 100644 index 0000000..ba3ef7f --- /dev/null +++ b/test/div.js @@ -0,0 +1,40 @@ +const path = require("path"); + +const bigInt = require("big-integer"); +const Scalar = require("ffjavascript").Scalar; +const tester = require("circom").tester; + +const { splitToArray } = require("./util.js"); + + +describe("Divisible. 64bits / 64chunks", function () { + this.timeout(100000); + + let circuit; + before(async () => { + circuit = await tester(path.join(__dirname, "circuits", "div.circom")); + }); + + it("64bits/32words. Montgomery exponent", async () => { + + var modulus = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); + var m_shift_2048 = modulus.shiftLeft(bigInt(2048)); + var testCases = [{ + description: "calc powerMod", + input: { + // 1844674407370955161600 + a: splitToArray(modulus.multiply(modulus), 64, 64), + b: splitToArray(modulus, 64, 64), + remainder: splitToArray(bigInt(0), 64, 64), + }, + output: { out: splitToArray(bigInt(0), 64, 64) }, + }]; + + for (var i = 0; i < testCases.length; i++) { + const witness = await circuit.calculateWitness(testCases[i].input, true); + + await circuit.assertOut(witness, testCases[i].output); + } + }); +}); + diff --git a/test/montgomery_reduction_64_32.js b/test/montgomery_reduction_64_32.js index fa53174..f01a9f7 100644 --- a/test/montgomery_reduction_64_32.js +++ b/test/montgomery_reduction_64_32.js @@ -33,6 +33,7 @@ describe("montgomery reduction 64bits/32words.", function () { var testCases = [{ description: "one word", input: { + x_raw: splitToArray(sign, 64, 32), x: splitToArray(p_a, 64, 32), y: splitToArray(sign, 64, 32), modulus: splitToArray(n, 64, 32), From d263582892a4e3b6d8f92265d13cdc7404d978b2 Mon Sep 17 00:00:00 2001 From: jacksoom <670505948@qq.com> Date: Mon, 13 Dec 2021 11:19:43 +0800 Subject: [PATCH 14/15] upgrade circom2.0 --- circomlib | 2 +- circuits/div.circom | 158 +- circuits/mont_exp.circom | 76 - circuits/montgomery.circom | 212 - circuits/mul.circom | 76 +- circuits/pow_mod.circom | 69 + circuits/rsa_verify.circom | 33 +- circuits/sub.circom | 4 +- package-lock.json | 9134 +++++++++++-------------- package.json | 6 +- test/circuits/div.circom | 6 +- test/circuits/mont_exp.circom | 3 - test/circuits/montgomery_64_32.circom | 3 - test/circuits/mul.circom | 4 +- test/circuits/mul1.circom | 4 + test/circuits/mul_mod.circom | 5 + test/circuits/normalize.circom | 4 +- test/circuits/pow_mod.circom | 4 +- test/circuits/rsa_verify.circom | 4 +- test/circuits/rsh.circom | 5 + test/circuits/sub.circom | 3 - test/div.js | 46 +- test/mont_exp.js | 60 - test/montgomery_reduction_64_32.js | 53 - test/mul.js | 6 +- test/mul_mod.js | 46 + test/{normalize.js => normalizes.js} | 18 +- test/pow_mod.js | 44 + test/rsa_verify.js | 198 +- test/rsh.js | 39 + test/sub.js | 44 - 31 files changed, 4433 insertions(+), 5936 deletions(-) delete mode 100644 circuits/mont_exp.circom delete mode 100644 circuits/montgomery.circom create mode 100644 circuits/pow_mod.circom delete mode 100644 test/circuits/mont_exp.circom delete mode 100644 test/circuits/montgomery_64_32.circom create mode 100644 test/circuits/mul1.circom create mode 100644 test/circuits/mul_mod.circom create mode 100644 test/circuits/rsh.circom delete mode 100644 test/circuits/sub.circom delete mode 100644 test/mont_exp.js delete mode 100644 test/montgomery_reduction_64_32.js create mode 100644 test/mul_mod.js rename test/{normalize.js => normalizes.js} (83%) create mode 100644 test/pow_mod.js create mode 100644 test/rsh.js delete mode 100644 test/sub.js diff --git a/circomlib b/circomlib index e387ad8..a8196b2 160000 --- a/circomlib +++ b/circomlib @@ -1 +1 @@ -Subproject commit e387ad83adef12ddd9b8bd91e225c5442891da21 +Subproject commit a8196b20101be34efe6d7583ba666574c97b9164 diff --git a/circuits/div.circom b/circuits/div.circom index 5c53478..6f74da3 100644 --- a/circuits/div.circom +++ b/circuits/div.circom @@ -1,3 +1,7 @@ +pragma circom 2.0.0; + +include "../circomlib/circuits/bitify.circom"; + // constraint (a - remainder) % b = 0 template Divisible(w, n) { signal input a[n]; @@ -25,44 +29,43 @@ template Divisible(w, n) { t[i] = t[i] & lo_bit_var; } - var t_b_lsh_c[n + 1]; + var t_b_rsh_c[n + 1]; var c = n \ 2; // b << (w * c) for (var i = 0; i < n; i++) { if (i < c) { - t_b_lsh_c[i] = 0; + t_b_rsh_c[i] = 0; } else { - t_b_lsh_c[i] = b[i - c]; + t_b_rsh_c[i] = b[i - c]; } } - t_b_lsh_c[n] = 0; + t_b_rsh_c[n] = 0; var temp; // // rsh 1 component normalizes[w * n]; for (var i = 0; i < w * n; i++) { normalizes[i] = normalize(w, n); - normalizes[i].a_carry <== 0; if (i == 0) { for (var j = 0; j < n; j++) { normalizes[i].a[j] <== a[j]; - normalizes[i].modulus[j] <-- b[j]; + normalizes[i].modulus[j] <== b[j]; } } else { for (var j = 0; j < n; j++) { - normalizes[i].a[j] <-- normalizes[i - 1].out[j]; - normalizes[i].modulus[j] <-- t_b_lsh_c[j]; + normalizes[i].a[j] <== normalizes[i - 1].out[j]; + normalizes[i].modulus[j] <== t_b_rsh_c[j]; } // rsh 1 for (var j = 0; j < n; j++) { - if (t_b_lsh_c[j] != 0) { - t_b_lsh_c[j] = t_b_lsh_c[j] >> 1; + if (t_b_rsh_c[j] != 0) { + t_b_rsh_c[j] = t_b_rsh_c[j] >> 1; } - if ((t_b_lsh_c[j + 1] & 1) == 1) { - t_b_lsh_c[j] = t_b_lsh_c[j] ^ highest; + if ((t_b_rsh_c[j + 1] & 1) == 1) { + t_b_rsh_c[j] = t_b_rsh_c[j] ^ highest; } } } @@ -74,35 +77,29 @@ template Divisible(w, n) { } - // a > modulus ? a - modulus : a; -template normalize(w, nb) { +template normalize(w, nb) {/*{{{*/ signal input a[nb]; signal input modulus[nb]; - signal input a_carry; - signal output out[nb]; signal output has_sub; - // check a greater than modulus - var needSub = 2; - if (a_carry == 1) { - needSub = 1; - }else { - for (var i = nb - 1; i >= 0; i--) { - if(a[i] > modulus[i] && needSub == 2) { - needSub = 1; - } + var need_sub = 3; - if (a[i] < modulus[i] && needSub == 2) { - needSub = 0; - } + for (var i = nb - 1; i >= 0; i--) { + if (need_sub == 3 && a[i] > modulus[i]) { + need_sub = 1; } - } - has_sub <== 1; + if (need_sub == 3 && a[i] < modulus[i]) { + need_sub = 0; + } + } + has_sub <-- need_sub; + (has_sub) * (has_sub - 1) === 0; + var borrow = 0; var temp = 0; @@ -114,19 +111,16 @@ template normalize(w, nb) { var carry_v = 1 << w; - if (needSub != 0) { + if (has_sub != 0) { for (var i = 0; i < nb; i++) { temp = a[i]; - if (i == nb - 1 && a_carry == 1) { - temp += carry_v; - } if (temp < (modulus[i] + borrow)) { temp += (carry_v - borrow); borrow = 1; }else { temp = temp - borrow; - borrow = 0 + borrow = 0; } t[i] = temp - modulus[i]; @@ -134,15 +128,95 @@ template normalize(w, nb) { } for (var i = 0; i< nb; i++) { - out[i] <== t[i]; + out[i] <-- t[i]; } +}/*}}}*/ + +template div(w, n) { + signal input a[2 * n]; + signal input b[n]; + + + signal output quotient[n]; + signal output remainder[n]; + + component rshs[w * n]; + for (var i = 0; i < w * n; i++) { + rshs[i] = rsh(w, 2 * n); + + if (i == 0) { + for (var j = 0; j < 2 * n; j++) { + if (j < n) { + rshs[i].a[j] <-- 0; + } else { + rshs[i].a[j] <-- b[j - n]; + } + } + } else { + for (var j = 0; j < 2 * n; j++) { + rshs[i].a[j] <-- rshs[i - 1].out[j]; + } + } + } + + // init normalizes + component normalizes[w * n]; + + for (var i = 0; i < n * w; i++) { + normalizes[i] = normalize(w, 2 * n) ; + } + + // normalizes[0] + for (var i = 0; i < 2 * n; i++) { + normalizes[0].a[i] <== a[i]; + + normalizes[0].modulus[i] <== rshs[0].out[i]; + } + + for (var i = 1; i < n * w; i++) { + for (var j = 0; j < 2 * n; j++) { + normalizes[i].a[j] <-- normalizes[i - 1].out[j]; + normalizes[i].modulus[j] <-- rshs[i].out[j]; + } + } + + for (var i = 0; i < n; i++) { + remainder[i] <== normalizes[n * w - 1].out[i]; + } + + component bits2nums[n]; + for (var i = 0; i < n; i++) { + bits2nums[i] = Bits2Num(w); + + var start_index = i * w; + for (var j = 0; j < w; j++) { + bits2nums[i].in[j] <== normalizes[start_index + w - 1 - j].has_sub; + } + quotient[n - i - 1] <== bits2nums[i].out; + } +} + +template rsh(w, n) { + signal input a[n]; + + signal output out[n]; + + signal low_bits[n]; + for (var i = 0; i < n; i++) { + low_bits[i] <-- a[i] & 1; -// // TODO: conditions -// if (has_sub == 1) { -// // out + modulus = a -// }else { -// // out == a -// } + low_bits[i] * (low_bits[i] - 1) === 0; + } + + var highest = 1 << (w - 1); + + out[n - 1] <-- (a[n - 1] >> 1); + + out[n - 1] * 2 + low_bits[n - 1] === a[n - 1]; + + for (var i = 0; i < n - 1; i++) { + out[i] <== (a[i] - low_bits[i]) / 2 + highest * low_bits[i + 1]; + } } diff --git a/circuits/mont_exp.circom b/circuits/mont_exp.circom deleted file mode 100644 index 3bd6495..0000000 --- a/circuits/mont_exp.circom +++ /dev/null @@ -1,76 +0,0 @@ -include "./montgomery.circom" -// r = 2 ^ (n * w). n is the modulus word count -// p_a = a * r mod modulus -// p_A = r mod modulus -// output A = (a ^ e) mod(p) -template mont_exp(w, nb) { - signal input p_a[nb]; - signal input p_A[nb]; - signal input exp; - signal input p[nb]; - - signal input m0ninv; - - signal output out[nb]; - - // 0b10000000000000001 - exp === 65537; - - var e_bits = 17; - - component montPrs[19]; - - for (var i = 0; i < e_bits + 2 ; i++) { - montPrs[i] = mont_cios(w, nb); - montPrs[i].m0inv <== m0ninv; - - for (var j = 0; j < nb; j++) { - montPrs[i].modulus[j] <== p[j]; - } - } - - var mont_index = 0; - for (var i = 0; i < e_bits; i++) { - if (i == 0) { - for (var j = 0; j < nb; j++) { - montPrs[mont_index].x[j] <== p_A[j]; - montPrs[mont_index].y[j] <== p_A[j]; - } - } else { - for (var j = 0; j < nb; j++) { - montPrs[mont_index - 1].out[j] ==> montPrs[mont_index].x[j]; - montPrs[mont_index - 1].out[j] ==> montPrs[mont_index].y[j]; - } - } - - mont_index ++; - - if (i == 0 || i == (e_bits - 1)) { - for (var j = 0; j < nb; j++) { - montPrs[mont_index - 1].out[j] ==> montPrs[mont_index].x[j]; - montPrs[mont_index].y[j] <== p_a[j]; - } - - mont_index ++; - } - } - - component resultMontPr = mont_cios(w, nb); - - resultMontPr.m0inv <== m0ninv; - - for (var i = 0; i < nb; i++) { - resultMontPr.modulus[i] <== p[i]; - montPrs[mont_index - 1].out[i] ==> resultMontPr.x[i]; - var t = 0; - if (i == 0) { - t = 1; - } - - resultMontPr.y[i] <== t; - } - - for (var i = 0; i < nb; i ++) { - resultMontPr.out[i] ==> out[i]; - } -} diff --git a/circuits/montgomery.circom b/circuits/montgomery.circom deleted file mode 100644 index 7ffad5f..0000000 --- a/circuits/montgomery.circom +++ /dev/null @@ -1,212 +0,0 @@ -include "../circomlib/circuits/bitify.circom" -include "./sub.circom" -include "./mul.circom" -include "./div.circom" -// montrygomery production alg. Currently -// w = 64 -// nb is the length of the number input -template mont_mul(w, nb) { - signal input pre_compute_a[nb]; - signal input b[nb]; - signal input modulus[nb]; - - signal input m0inv; - - signal output out [nb]; - - component montPr = mont_cios(w, nb); - - for (var i = 0; i < nb; i++) { - montPr.x[i] <== pre_compute_a[i]; - montPr.y[i] <== b[i]; - montPr.modulus[i] <== modulus[i]; - - montPr.m0inv <== m0inv; - } - - for (var i = 0; i < nb; i++) { - montPr.out[i] ==> out[i]; - } -} - -// Montgomery modular multiplication. CIOS alg -// Souce paper from https://www.microsoft.com/en-us/research/wp-content/uploads/1998/06/97Acar.pdf -// (x * y) mod modulus -template mont_cios(w, nb) { - signal input x_raw[nb]; - - signal input x[nb]; - signal input y[nb]; - signal input modulus[nb]; - - signal input m0inv; - - - signal output out[nb]; - - var temps[nb + 2]; - for (var i = 0; i < nb +2 ;i ++) { - temps[i] = 0; - } - - var temp = 0; - // 0b1111111111111111111111111111111111111111111111111111111111111111 - var lo_64_bit_var = (1 << w) - 1; - - // TODO: add constraint for (m0inv * modulus[0]) % (1 << w) ≡ -1 - - // Witness computation - var C = 0; - for (var i = 0; i < nb; i++) { - C = 0; - - for (var j = 0; j < nb; j++) { - temp = x[j] * y[i] + temps[j] + C; - - C = temp >> 64; - temps[j] = temp & lo_64_bit_var; - } - - temp = temps[nb] + C; - - temps[nb + 1] = temp >> 64; - temps[nb] = temp & lo_64_bit_var; - - C = 0; - - var q = (temps[0] * m0inv) % (1 << 64); - var temp = q * modulus[0] + temps[0]; - - C = temp >> 64; - - for (var j = 1; j < nb; j++) { - temp = q * modulus[j] + temps[j] + C; - - C = temp >> 64; - temps[j - 1] = temp & lo_64_bit_var; - } - - temp = temps[nb] + C; - - C = temp >> 64; - - temps[nb - 1] = temp & lo_64_bit_var; - temps[nb] = C + temps[nb + 1]; - } - - // verify - component normal = normalize(w, nb); - normal.a_carry <== temps[nb]; - - for (var i = 0; i < nb; i++) { - normal.a[i] <== temps[i]; - normal.modulus[i] <== modulus[i]; - } - - for (var i = 0; i < nb; i++) { - out[i] <== normal.out[i]; - } - - // Verify that the remainder and quotient are w-bits, n-chunks. - component prodDecomp[nb]; - for (var i = 0; i < nb; i++) { - prodDecomp[i] = Num2Bits(w); - prodDecomp[i].in <== normal.out[i]; - } - - // TODO: constraints (x_raw * y) - out divisible modulus - component mul_xy = AsymmetricPolynomialMultiplier(nb, nb); - for (var i = 0; i < nb; i++) { - mul_xy.in0[i] <== x_raw[i]; - mul_xy.in1[i] <== y[i]; - } - - var doubleN = 2 * nb; - - component divisible = Divisible(w, doubleN); - for (var i = 0; i < doubleN - 1; i++) { - divisible.a[i] <== mul_xy.out[i]; - } - - divisible.a[doubleN - 1] <== 0; - - for (var i = 0; i < nb; i++) { - divisible.b[i] <== modulus[i]; - } - - for (var i = nb; i < doubleN; i++) { - divisible.b[i] <== 0; - } - - for (var i = 0; i < nb; i++) { - divisible.remainder[i] <== out[i]; - } - - for (var i = nb; i < doubleN; i++) { - divisible.remainder[i] <== 0; - } -} - -// a > modulus ? a - modulus : a; -template normalize(w, nb) { - signal input a[nb]; - signal input modulus[nb]; - signal input a_carry; - - - signal output out[nb]; - - signal has_sub; - - // check a greater than modulus - var needSub = 2; - if (a_carry == 1) { - needSub = 1; - }else { - for (var i = nb - 1; i >= 0; i==) { - if(a[i] > modulus[i] && needSub == 2) { - needSub = 1; - } - - if (a[i] < modulus[i] && needSub == 2) { - needSub = 0; - } - } - } - - has_sub <== 1; - - var borrow = 0; - var temp = 0; - - var t[nb]; - // out = a - for (var i = 0;i < nb; i++) { - t[i] = a[i]; - } - var carry_v = 1 << w; - - if (needSub != 0) { - for (var i = 0; i < nb; i++) { - temp = a[i]; - if (i == nb - 1 && a_carry == 1) { - temp += carry_v; - } - - if (temp < (modulus[i] + borrow)) { - temp += (carry_v - borrow); - borrow = 1; - }else { - temp = temp - borrow; - borrow = 0 - } - - t[i] = temp - modulus[i]; - } - } - - for (var i = 0; i< nb; i++) { - out[i] <== t[i]; - } -} - diff --git a/circuits/mul.circom b/circuits/mul.circom index a5131ca..89479f5 100644 --- a/circuits/mul.circom +++ b/circuits/mul.circom @@ -1,4 +1,7 @@ -include "../circomlib/circuits/bitify.circom" +pragma circom 2.0.0; + +include "../circomlib/circuits/bitify.circom"; +include "./div.circom"; template AsymmetricPolynomialMultiplier(d0, d1) { // Implementation of _xjSnark_'s multiplication. @@ -53,3 +56,74 @@ template AsymmetricPolynomialMultiplier(d0, d1) { } } +template mul_mod(w, n) { + signal input a[n]; + signal input b[n]; + signal input modulus[n]; + + signal output out[n]; + + var lo_bit_var = (1 << w) - 1; + // Witness + // Asymmetric Polynomial Multiplier. Each slot are converted to 64bits. + var d2 = 2 * n - 1; + + var result[d2]; + var carry = 0; + var acc; + + component divisible = div(w, n); + + for (var i = 0; i < d2; i++) { + var start = 0; + var acc = carry; + + if (n < i + 1) { + start = i + 1 - n; + } + + for (var j = start; j < n && j <= i; j++) { + var k = i - j; + acc += a[j] * b[k]; + } + + carry = acc >> w; + acc = acc & lo_bit_var; + + divisible.a[i] <-- acc; + } + + divisible.a[2 * n - 1] <-- carry; + + for (var i = 0; i < n; i++) { + divisible.b[i] <-- modulus[i]; + } + + + component left = AsymmetricPolynomialMultiplier(n, n); + component right = AsymmetricPolynomialMultiplier(n, n); + for (var i = 0; i < n; i++) { + left.in0[i] <== a[i]; + left.in1[i] <== b[i]; + + right.in0[i] <== modulus[i]; + right.in1[i] <== divisible.quotient[i]; + } + + // TODO: group eq + // var doubleN = 2 * n; + // var maxWord = n * lo_bit_var * lo_bit_var + lo_bit_var; + // component carryR = EqualWhenCarriedRegroup(maxWord, w, doubleN - 1); + // for (var i = 0; i < doubleN - 1; i++) { + // if (i < n) { + // carryR.a[i] <-- left.out[i]; + // carryR.b[i] <-- right.out[i] + out[i]; + // } else { + // carryR.a[i] <-- left.out[i]; + // carryR.b[i] <-- right.out[i]; + // } + // } + for (var i = 0; i < n; i++) { + out[i] <-- divisible.remainder[i]; + } +} diff --git a/circuits/pow_mod.circom b/circuits/pow_mod.circom new file mode 100644 index 0000000..630e76f --- /dev/null +++ b/circuits/pow_mod.circom @@ -0,0 +1,69 @@ +pragma circom 2.0.0; + +include "../circomlib/circuits/bitify.circom"; +include "mul.circom"; +// w = 32 +// base ** exp mod modulus +// nb is the length of the input number +// exp = 65537 +template PowerModv2(w, nb, e_bits) { + signal input base[nb]; + signal input exp[nb]; + signal input modulus[nb]; + + signal output out[nb]; + + + component muls[e_bits + 2]; + for (var i = 0; i < e_bits + 2; i++) { + muls[i] = mul_mod(w, nb); + // modulus params + for (var j = 0; j < nb; j++) { + muls[i].modulus[j] <== modulus[j]; + } + } + + // result/base muls component index + var result_index=0; + var base_index=0; + var muls_index=0; + for (var i = 0; i< e_bits; i++) { + if (i == 0 || i == e_bits - 1) { + if (i == 0) { + for(var j = 0; j < nb; j ++) { + if (j == 0) { + muls[muls_index].a[j] <== 1; + } else { + muls[muls_index].a[j] <== 0; + } + muls[muls_index].b[j] <== base[j]; + } + } else { + for(var j = 0; j < nb; j++) { + muls[muls_index].a[j] <== muls[result_index].out[j]; + muls[muls_index].b[j] <== muls[base_index].out[j]; + } + } + result_index = muls_index; + muls_index++; + } + + if (base_index == 0) { + for (var j = 0; j < nb; j++) { + muls[muls_index].a[j] <== base[j]; + muls[muls_index].b[j] <== base[j]; + } + } else { + for (var j = 0; j < nb; j++) { + muls[muls_index].a[j] <== muls[base_index].out[j]; + muls[muls_index].b[j] <== muls[base_index].out[j]; + } + } + base_index = muls_index; + muls_index++; + } + + for (var i = 0; i < nb; i++) { + out[i] <== muls[result_index].out[i]; + } +} \ No newline at end of file diff --git a/circuits/rsa_verify.circom b/circuits/rsa_verify.circom index 84da769..aa60711 100644 --- a/circuits/rsa_verify.circom +++ b/circuits/rsa_verify.circom @@ -1,29 +1,23 @@ -include "./mont_exp.circom"; -include "../circomlib/circuits/bitify.circom" +pragma circom 2.0.0; + +include "../circomlib/circuits/bitify.circom"; +include "./power_mod.cicom"; // Pkcs1v15 + Sha256 // exp 65537 -template RsaVerifyPkcs1v15(w, nb, hashLen) { - // p_a = sign * 2 ^ (w * nb) mod p - signal input p_a[nb]; - // p_A = 2 ^ (w * nb) mod p - signal input p_A[nb]; - signal input exp; - // modulus - signal input p[nb]; - signal input m0ninv; +template RsaVerifyPkcs1v15(w, nb, e_bits, hashLen) { + signal input exp[nb]; + signal input sign[nb]; + signal input modulus[nb]; signal input hashed[hashLen]; // sign ** exp mod modulus - component pm = mont_exp(w, nb); - pm.exp <== exp; - pm.m0ninv <== m0ninv; - + component pm = PowerModv2(w, nb, e_bits); for (var i = 0; i < nb; i++) { - pm.p_a[i] <== p_a[i]; - pm.p_A[i] <== p_A[i]; - pm.p[i] <== p[i]; + pm.base[i] <== sign[i]; + pm.exp[i] <== exp[i]; + pm.modulus[i] <== modulus[i]; } // 1. Check hashed data @@ -39,7 +33,7 @@ template RsaVerifyPkcs1v15(w, nb, hashLen) { pm.out[5] === 938447882527703397; // // remain 24 bit component num2bits_6 = Num2Bits(w); - num2bits_6.in <-- pm.out[6]; + num2bits_6.in <== pm.out[6]; var remainsBits[32] = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0]; for (var i = 0; i < 32; i++) { num2bits_6.out[i] === remainsBits[31 - i]; @@ -57,3 +51,4 @@ template RsaVerifyPkcs1v15(w, nb, hashLen) { // 0b1111111111111111111111111111111111111111111111111 pm.out[31] === 562949953421311; } + diff --git a/circuits/sub.circom b/circuits/sub.circom index 5d29190..a9e184b 100644 --- a/circuits/sub.circom +++ b/circuits/sub.circom @@ -1,4 +1,6 @@ -include "../circomlib/circuits/bitify.circom" +pragma circom 2.0.0; + +include "../circomlib/circuits/bitify.circom"; template Sub(w, n1, n2) { diff --git a/package-lock.json b/package-lock.json index e0546ae..715d8e9 100644 --- a/package-lock.json +++ 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"@npmcli/ci-detect", "@npmcli/config", + "@npmcli/map-workspaces", "@npmcli/package-json", "@npmcli/run-script", "abbrev", "ansicolors", "ansistyles", "archy", - "byte-size", "cacache", "chalk", "chownr", "cli-columns", "cli-table3", "columnify", + "fastest-levenshtein", "glob", "graceful-fs", "hosted-git-info", @@ -6531,7 +5606,6 @@ "init-package-json", "is-cidr", "json-parse-even-better-errors", - "leven", "libnpmaccess", "libnpmdiff", "libnpmexec", @@ -6552,6 +5626,7 @@ "node-gyp", "nopt", "npm-audit-report", + "npm-install-checks", "npm-package-arg", "npm-pick-manifest", "npm-profile", @@ -6578,74 +5653,76 @@ "write-file-atomic" ], "dependencies": { - "@npmcli/arborist": "^2.7.1", - "@npmcli/ci-detect": "^1.2.0", - "@npmcli/config": "^2.2.0", - "@npmcli/package-json": "^1.0.1", - "@npmcli/run-script": "^1.8.5", - "abbrev": "~1.1.1", - "ansicolors": "~0.3.2", - "ansistyles": "~0.1.3", - "archy": "~1.0.0", - "byte-size": "^7.0.1", - "cacache": "^15.2.0", - "chalk": "^4.1.0", - "chownr": "^2.0.0", - "cli-columns": "^3.1.2", - "cli-table3": "^0.6.0", - "columnify": "~1.5.4", - "glob": "^7.1.7", - "graceful-fs": "^4.2.6", - "hosted-git-info": "^4.0.2", - "ini": "^2.0.0", - "init-package-json": "^2.0.3", - "is-cidr": "^4.0.2", - "json-parse-even-better-errors": "^2.3.1", - "leven": "^3.1.0", - "libnpmaccess": "^4.0.2", - "libnpmdiff": "^2.0.4", - "libnpmexec": "^2.0.0", - "libnpmfund": "^1.1.0", - "libnpmhook": "^6.0.2", - "libnpmorg": "^2.0.2", - "libnpmpack": "^2.0.1", - "libnpmpublish": "^4.0.1", - "libnpmsearch": "^3.1.1", - "libnpmteam": "^2.0.3", - "libnpmversion": "^1.2.1", - "make-fetch-happen": "^9.0.4", - "minipass": "^3.1.3", - "minipass-pipeline": "^1.2.4", - "mkdirp": "^1.0.4", - "mkdirp-infer-owner": "^2.0.0", - "ms": "^2.1.2", - "node-gyp": "^7.1.2", - "nopt": "^5.0.0", - "npm-audit-report": "^2.1.5", - "npm-package-arg": "^8.1.5", - "npm-pick-manifest": "^6.1.1", - "npm-profile": "^5.0.3", - "npm-registry-fetch": "^11.0.0", - "npm-user-validate": "^1.0.1", - "npmlog": "^5.0.0", - "opener": "^1.5.2", - "pacote": "^11.3.5", - "parse-conflict-json": "^1.1.1", - "qrcode-terminal": "^0.12.0", - "read": "~1.0.7", - "read-package-json": "^3.0.1", - "read-package-json-fast": "^2.0.3", - "readdir-scoped-modules": "^1.1.0", - "rimraf": "^3.0.2", - "semver": "^7.3.5", - "ssri": "^8.0.1", - "tar": "^6.1.0", - "text-table": "~0.2.0", - "tiny-relative-date": "^1.3.0", - "treeverse": "^1.0.4", - "validate-npm-package-name": "~3.0.0", - "which": "^2.0.2", - "write-file-atomic": "^3.0.3" + "@isaacs/string-locale-compare": "*", + "@npmcli/arborist": "*", + "@npmcli/ci-detect": "*", + "@npmcli/config": "*", + "@npmcli/map-workspaces": "*", + "@npmcli/package-json": "*", + "@npmcli/run-script": "*", + "abbrev": "*", + "ansicolors": "*", + "ansistyles": "*", + "archy": "*", + "cacache": "*", + "chalk": "*", + "chownr": "*", + "cli-columns": "*", + "cli-table3": "*", + "columnify": "*", + "fastest-levenshtein": "*", + "glob": "*", + "graceful-fs": "*", + "hosted-git-info": "*", + "ini": "*", + "init-package-json": "*", + "is-cidr": "*", + "json-parse-even-better-errors": "*", + "libnpmaccess": "*", + "libnpmdiff": "*", + "libnpmexec": "*", + "libnpmfund": "*", + "libnpmhook": "*", + "libnpmorg": "*", + "libnpmpack": "*", + "libnpmpublish": "*", + "libnpmsearch": "*", + "libnpmteam": "*", + "libnpmversion": "*", + "make-fetch-happen": "*", + "minipass": "*", + "minipass-pipeline": "*", + "mkdirp": "*", + "mkdirp-infer-owner": "*", + "ms": "*", + "node-gyp": "*", + "nopt": "*", + "npm-audit-report": "*", + "npm-install-checks": "*", + "npm-package-arg": "*", + "npm-pick-manifest": "*", + "npm-profile": "*", + "npm-registry-fetch": "*", + "npm-user-validate": "*", + "npmlog": "*", + "opener": "*", + "pacote": "*", + "parse-conflict-json": "*", + "qrcode-terminal": "*", + "read": "*", + "read-package-json": "*", + "read-package-json-fast": "*", + "readdir-scoped-modules": "*", + "rimraf": "*", + "semver": "*", + "ssri": "*", + "tar": "*", + "text-table": "*", + "tiny-relative-date": "*", + "treeverse": "*", + "validate-npm-package-name": "*", + "which": "*", + "write-file-atomic": "*" }, "bin": { "npm": "bin/npm-cli.js", @@ -6656,22 +5733,32 @@ } }, "node_modules/npm-run-path": { - "version": "2.0.2", - "resolved": "https://registry.npmjs.org/npm-run-path/-/npm-run-path-2.0.2.tgz", - "integrity": "sha1-NakjLfo11wZ7TLLd8jV7GHFTbF8=", - "dev": true, + "version": "4.0.1", + "resolved": "https://registry.npmjs.org/npm-run-path/-/npm-run-path-4.0.1.tgz", + "integrity": "sha512-S48WzZW777zhNIrn7gxOlISNAqi9ZC/uQFnRdbeIHhZhCA6UqpkOT8T1G7BvfdgP4Er8gF4sUbaS0i7QvIfCWw==", "dependencies": { - "path-key": "^2.0.0" + "path-key": "^3.0.0" }, "engines": { - "node": ">=4" + "node": ">=8" } }, + "node_modules/npm/node_modules/@gar/promisify": { + "version": "1.1.2", + "inBundle": true, + "license": "MIT" + }, + "node_modules/npm/node_modules/@isaacs/string-locale-compare": { + "version": "1.1.0", + "inBundle": true, + "license": "ISC" + }, "node_modules/npm/node_modules/@npmcli/arborist": { - "version": "2.7.1", + "version": "2.9.0", "inBundle": true, "license": "ISC", "dependencies": { + "@isaacs/string-locale-compare": "^1.0.1", "@npmcli/installed-package-contents": "^1.0.7", "@npmcli/map-workspaces": "^1.0.2", "@npmcli/metavuln-calculator": "^1.1.0", @@ -6688,10 +5775,10 @@ "mkdirp": "^1.0.4", "mkdirp-infer-owner": "^2.0.0", "npm-install-checks": "^4.0.0", - "npm-package-arg": "^8.1.0", + "npm-package-arg": "^8.1.5", "npm-pick-manifest": "^6.1.0", "npm-registry-fetch": "^11.0.0", - "pacote": "^11.2.6", + "pacote": "^11.3.5", "parse-conflict-json": "^1.1.1", "proc-log": "^1.0.0", "promise-all-reject-late": "^1.0.0", @@ -6701,7 +5788,6 @@ "rimraf": "^3.0.2", "semver": "^7.3.5", "ssri": "^8.0.1", - "tar": "^6.1.0", "treeverse": "^1.0.4", "walk-up-path": "^1.0.0" }, @@ -6718,7 +5804,7 @@ "license": "ISC" }, "node_modules/npm/node_modules/@npmcli/config": { - "version": "2.2.0", + "version": "2.3.0", "inBundle": true, "license": "ISC", "dependencies": { @@ -6743,6 +5829,15 @@ "node": ">=10" } }, + "node_modules/npm/node_modules/@npmcli/fs": { + "version": "1.0.0", + "inBundle": true, + "license": "ISC", + "dependencies": { + "@gar/promisify": "^1.0.1", + "semver": "^7.3.5" + } + }, "node_modules/npm/node_modules/@npmcli/git": { "version": "2.1.0", "inBundle": true, @@ -6774,7 +5869,7 @@ } }, "node_modules/npm/node_modules/@npmcli/map-workspaces": { - "version": "1.0.3", + "version": "1.0.4", "inBundle": true, "license": "ISC", "dependencies": { @@ -6836,13 +5931,12 @@ } }, "node_modules/npm/node_modules/@npmcli/run-script": { - "version": "1.8.5", + "version": "1.8.6", "inBundle": true, "license": "ISC", "dependencies": { "@npmcli/node-gyp": "^1.0.2", "@npmcli/promise-spawn": "^1.3.2", - "infer-owner": "^1.0.4", "node-gyp": "^7.1.0", "read-package-json-fast": "^2.0.1" } @@ -6954,12 +6048,15 @@ "license": "MIT" }, "node_modules/npm/node_modules/are-we-there-yet": { - "version": "1.1.5", + "version": "1.1.6", "inBundle": true, "license": "ISC", "dependencies": { "delegates": "^1.0.0", - "readable-stream": "^2.0.6" + "readable-stream": "^3.6.0" + }, + "engines": { + "node": ">=10" } }, "node_modules/npm/node_modules/asap": { @@ -7052,19 +6149,12 @@ "inBundle": true, "license": "MIT" }, - "node_modules/npm/node_modules/byte-size": { - "version": "7.0.1", - "inBundle": true, - "license": "MIT", - "engines": { - "node": ">=10" - } - }, "node_modules/npm/node_modules/cacache": { - "version": "15.2.0", + "version": "15.3.0", "inBundle": true, "license": "ISC", "dependencies": { + "@npmcli/fs": "^1.0.0", "@npmcli/move-file": "^1.0.1", "chownr": "^2.0.0", "fs-minipass": "^2.0.0", @@ -7093,7 +6183,7 @@ "license": "Apache-2.0" }, "node_modules/npm/node_modules/chalk": { - "version": "4.1.1", + "version": "4.1.2", "inBundle": true, "license": "MIT", "dependencies": { @@ -7446,6 +6536,11 @@ "inBundle": true, "license": "MIT" }, + "node_modules/npm/node_modules/fastest-levenshtein": { + "version": "1.0.12", + "inBundle": true, + "license": "MIT" + }, "node_modules/npm/node_modules/forever-agent": { "version": "0.6.1", "inBundle": true, @@ -7476,7 +6571,7 @@ "license": "MIT" }, "node_modules/npm/node_modules/gauge": { - "version": "3.0.0", + "version": "3.0.1", "inBundle": true, "license": "ISC", "dependencies": { @@ -7484,6 +6579,7 @@ "color-support": "^1.1.2", "console-control-strings": "^1.0.0", "has-unicode": "^2.0.1", + "object-assign": "^4.1.1", "signal-exit": "^3.0.0", "string-width": "^1.0.1 || ^2.0.0", "strip-ansi": "^3.0.1 || ^4.0.0", @@ -7502,7 +6598,7 @@ } }, "node_modules/npm/node_modules/glob": { - "version": "7.1.7", + "version": "7.2.0", "inBundle": true, "license": "ISC", "dependencies": { @@ -7521,7 +6617,7 @@ } }, "node_modules/npm/node_modules/graceful-fs": { - "version": "4.2.6", + "version": "4.2.8", "inBundle": true, "license": "ISC" }, @@ -7696,15 +6792,14 @@ } }, "node_modules/npm/node_modules/init-package-json": { - "version": "2.0.3", + "version": "2.0.5", "inBundle": true, "license": "ISC", "dependencies": { - "glob": "^7.1.1", - "npm-package-arg": "^8.1.2", + "npm-package-arg": "^8.1.5", "promzard": "^0.3.0", "read": "~1.0.1", - "read-package-json": "^3.0.1", + "read-package-json": "^4.1.1", "semver": "^7.3.5", "validate-npm-package-license": "^3.0.4", "validate-npm-package-name": "^3.0.0" @@ -7738,7 +6833,7 @@ } }, "node_modules/npm/node_modules/is-core-module": { - "version": "2.5.0", + "version": "2.7.0", "inBundle": true, "license": "MIT", "dependencies": { @@ -7766,11 +6861,6 @@ "inBundle": true, "license": "MIT" }, - "node_modules/npm/node_modules/isarray": { - "version": "1.0.0", - "inBundle": true, - "license": "MIT" - }, "node_modules/npm/node_modules/isexe": { "version": "2.0.0", "inBundle": true, @@ -7845,14 +6935,6 @@ "inBundle": true, "license": "MIT" }, - "node_modules/npm/node_modules/leven": { - "version": "3.1.0", - "inBundle": true, - "license": "MIT", - "engines": { - "node": ">=6" - } - }, "node_modules/npm/node_modules/libnpmaccess": { "version": "4.0.3", "inBundle": true, @@ -7886,7 +6968,7 @@ } }, "node_modules/npm/node_modules/libnpmexec": { - "version": "2.0.0", + "version": "2.0.1", "inBundle": true, "license": "ISC", "dependencies": { @@ -8013,7 +7095,7 @@ } }, "node_modules/npm/node_modules/make-fetch-happen": { - "version": "9.0.4", + "version": "9.1.0", "inBundle": true, "license": "ISC", "dependencies": { @@ -8031,7 +7113,7 @@ "minipass-pipeline": "^1.2.4", "negotiator": "^0.6.2", "promise-retry": "^2.0.1", - "socks-proxy-agent": "^5.0.0", + "socks-proxy-agent": "^6.0.0", "ssri": "^8.0.0" }, "engines": { @@ -8039,7 +7121,7 @@ } }, "node_modules/npm/node_modules/mime-db": { - "version": "1.48.0", + "version": "1.49.0", "inBundle": true, "license": "MIT", "engines": { @@ -8047,11 +7129,11 @@ } }, "node_modules/npm/node_modules/mime-types": { - "version": "2.1.31", + "version": "2.1.32", "inBundle": true, "license": "MIT", "dependencies": { - "mime-db": "1.48.0" + "mime-db": "1.49.0" }, "engines": { "node": ">= 0.6" @@ -8069,7 +7151,7 @@ } }, "node_modules/npm/node_modules/minipass": { - "version": "3.1.3", + "version": "3.1.5", "inBundle": true, "license": "ISC", "dependencies": { @@ -8091,7 +7173,7 @@ } }, "node_modules/npm/node_modules/minipass-fetch": { - "version": "1.3.4", + "version": "1.4.1", "inBundle": true, "license": "MIT", "dependencies": { @@ -8295,12 +7377,12 @@ } }, "node_modules/npm/node_modules/normalize-package-data": { - "version": "3.0.2", + "version": "3.0.3", "inBundle": true, "license": "BSD-2-Clause", "dependencies": { "hosted-git-info": "^4.0.1", - "resolve": "^1.20.0", + "is-core-module": "^2.5.0", "semver": "^7.3.4", "validate-npm-package-license": "^3.0.1" }, @@ -8417,16 +7499,28 @@ "license": "BSD-2-Clause" }, "node_modules/npm/node_modules/npmlog": { - "version": "5.0.0", + "version": "5.0.1", "inBundle": true, "license": "ISC", "dependencies": { - "are-we-there-yet": "^1.1.5", + "are-we-there-yet": "^2.0.0", "console-control-strings": "^1.1.0", "gauge": "^3.0.0", "set-blocking": "^2.0.0" } }, + "node_modules/npm/node_modules/npmlog/node_modules/are-we-there-yet": { + "version": "2.0.0", + "inBundle": true, + "license": "ISC", + "dependencies": { + "delegates": "^1.0.0", + "readable-stream": "^3.6.0" + }, + "engines": { + "node": ">=10" + } + }, "node_modules/npm/node_modules/number-is-nan": { "version": "1.0.1", "inBundle": true, @@ -8531,11 +7625,6 @@ "node": ">=0.10.0" } }, - "node_modules/npm/node_modules/path-parse": { - "version": "1.0.7", - "inBundle": true, - "license": "MIT" - }, "node_modules/npm/node_modules/performance-now": { "version": "2.1.0", "inBundle": true, @@ -8546,11 +7635,6 @@ "inBundle": true, "license": "ISC" }, - "node_modules/npm/node_modules/process-nextick-args": { - "version": "2.0.1", - "inBundle": true, - "license": "MIT" - }, "node_modules/npm/node_modules/promise-all-reject-late": { "version": "1.0.1", "inBundle": true, @@ -8637,7 +7721,7 @@ "license": "ISC" }, "node_modules/npm/node_modules/read-package-json": { - "version": "3.0.1", + "version": "4.1.1", "inBundle": true, "license": "ISC", "dependencies": { @@ -8663,17 +7747,16 @@ } }, "node_modules/npm/node_modules/readable-stream": { - "version": "2.3.7", + "version": "3.6.0", "inBundle": true, "license": "MIT", "dependencies": { - "core-util-is": "~1.0.0", - "inherits": "~2.0.3", - "isarray": "~1.0.0", - "process-nextick-args": "~2.0.0", - "safe-buffer": "~5.1.1", - "string_decoder": "~1.1.1", - "util-deprecate": "~1.0.1" + "inherits": "^2.0.3", + "string_decoder": "^1.1.1", + "util-deprecate": "^1.0.1" + }, + "engines": { + "node": ">= 6" } }, "node_modules/npm/node_modules/readdir-scoped-modules": { @@ -8742,18 +7825,6 @@ "node": ">=0.8" } }, - "node_modules/npm/node_modules/resolve": { - "version": "1.20.0", - "inBundle": true, - "license": "MIT", - "dependencies": { - "is-core-module": "^2.2.0", - "path-parse": "^1.0.6" - }, - "funding": { - "url": "https://github.com/sponsors/ljharb" - } - }, "node_modules/npm/node_modules/retry": { "version": "0.12.0", "inBundle": true, @@ -8777,7 +7848,21 @@ } }, "node_modules/npm/node_modules/safe-buffer": { - "version": "5.1.2", + "version": "5.2.1", + "funding": [ + { + "type": "github", + "url": "https://github.com/sponsors/feross" + }, + { + "type": "patreon", + "url": "https://www.patreon.com/feross" + }, + { + "type": "consulting", + "url": "https://feross.org/support" + } + ], "inBundle": true, "license": "MIT" }, @@ -8811,7 +7896,7 @@ "license": "ISC" }, "node_modules/npm/node_modules/smart-buffer": { - "version": "4.1.0", + "version": "4.2.0", "inBundle": true, "license": "MIT", "engines": { @@ -8833,16 +7918,16 @@ } }, "node_modules/npm/node_modules/socks-proxy-agent": { - "version": "5.0.0", + "version": "6.1.0", "inBundle": true, "license": "MIT", "dependencies": { - "agent-base": "6", - "debug": "4", - "socks": "^2.3.3" + "agent-base": "^6.0.2", + "debug": "^4.3.1", + "socks": "^2.6.1" }, "engines": { - "node": ">= 6" + "node": ">= 10" } }, "node_modules/npm/node_modules/spdx-correct": { @@ -8869,7 +7954,7 @@ } }, "node_modules/npm/node_modules/spdx-license-ids": { - "version": "3.0.9", + "version": "3.0.10", "inBundle": true, "license": "CC0-1.0" }, @@ -8888,6 +7973,11 @@ "safer-buffer": "^2.0.2", "tweetnacl": "~0.14.0" }, + "bin": { + "sshpk-conv": "bin/sshpk-conv", + "sshpk-sign": "bin/sshpk-sign", + "sshpk-verify": "bin/sshpk-verify" + }, "engines": { "node": ">=0.10.0" } @@ -8904,11 +7994,11 @@ } }, "node_modules/npm/node_modules/string_decoder": { - "version": "1.1.1", + "version": "1.3.0", "inBundle": true, "license": "MIT", "dependencies": { - "safe-buffer": "~5.1.0" + "safe-buffer": "~5.2.0" } }, "node_modules/npm/node_modules/string-width": { @@ -8970,7 +8060,7 @@ } }, "node_modules/npm/node_modules/tar": { - "version": "6.1.0", + 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@@ -15631,7 +14137,7 @@ } }, "@npmcli/map-workspaces": { - "version": "1.0.3", + "version": "1.0.4", "bundled": true, "requires": { "@npmcli/name-from-folder": "^1.0.1", @@ -15680,12 +14186,11 @@ } }, "@npmcli/run-script": { - "version": "1.8.5", + "version": "1.8.6", "bundled": true, "requires": { "@npmcli/node-gyp": "^1.0.2", "@npmcli/promise-spawn": "^1.3.2", - "infer-owner": "^1.0.4", "node-gyp": "^7.1.0", "read-package-json-fast": "^2.0.1" } @@ -15760,11 +14265,11 @@ "bundled": true }, "are-we-there-yet": { - "version": "1.1.5", + "version": "1.1.6", "bundled": true, "requires": { "delegates": "^1.0.0", - "readable-stream": "^2.0.6" + "readable-stream": "^3.6.0" } }, "asap": { @@ -15833,14 +14338,11 @@ "version": "1.0.3", "bundled": true }, - "byte-size": { - "version": "7.0.1", - "bundled": true - }, "cacache": { - "version": "15.2.0", + "version": "15.3.0", "bundled": true, "requires": { + "@npmcli/fs": "^1.0.0", "@npmcli/move-file": "^1.0.1", "chownr": "^2.0.0", "fs-minipass": "^2.0.0", @@ -15865,7 +14367,7 @@ "bundled": true }, "chalk": { - "version": "4.1.1", + "version": "4.1.2", "bundled": true, "requires": { "ansi-styles": "^4.1.0", @@ -16095,6 +14597,10 @@ "version": "2.1.0", "bundled": true }, + "fastest-levenshtein": { + "version": "1.0.12", + "bundled": true + }, "forever-agent": { "version": "0.6.1", "bundled": true @@ -16115,13 +14621,14 @@ "bundled": true }, "gauge": { - "version": "3.0.0", + "version": "3.0.1", "bundled": true, "requires": { "aproba": "^1.0.3 || ^2.0.0", "color-support": "^1.1.2", "console-control-strings": "^1.0.0", "has-unicode": "^2.0.1", + "object-assign": "^4.1.1", "signal-exit": "^3.0.0", "string-width": "^1.0.1 || ^2.0.0", "strip-ansi": "^3.0.1 || ^4.0.0", @@ -16136,7 +14643,7 @@ } }, "glob": { - "version": "7.1.7", + "version": "7.2.0", "bundled": true, "requires": { "fs.realpath": "^1.0.0", @@ -16148,7 +14655,7 @@ } }, "graceful-fs": { - "version": "4.2.6", + "version": "4.2.8", "bundled": true }, "har-schema": { @@ -16266,14 +14773,13 @@ "bundled": true }, "init-package-json": { - "version": "2.0.3", + "version": "2.0.5", "bundled": true, "requires": { - "glob": "^7.1.1", - "npm-package-arg": "^8.1.2", + "npm-package-arg": "^8.1.5", "promzard": "^0.3.0", "read": "~1.0.1", - "read-package-json": "^3.0.1", + "read-package-json": "^4.1.1", "semver": "^7.3.5", "validate-npm-package-license": "^3.0.4", "validate-npm-package-name": "^3.0.0" @@ -16295,7 +14801,7 @@ } }, "is-core-module": { - "version": "2.5.0", + "version": "2.7.0", "bundled": true, "requires": { "has": "^1.0.3" @@ -16313,10 +14819,6 @@ "version": "1.0.0", "bundled": true }, - "isarray": { - "version": "1.0.0", - "bundled": true - }, "isexe": { "version": "2.0.0", "bundled": true @@ -16371,10 +14873,6 @@ "version": "3.0.0", "bundled": true }, - "leven": { - "version": "3.1.0", - "bundled": true - }, "libnpmaccess": { "version": "4.0.3", "bundled": true, @@ -16400,7 +14898,7 @@ } }, "libnpmexec": { - "version": "2.0.0", + "version": "2.0.1", "bundled": true, "requires": { "@npmcli/arborist": "^2.3.0", @@ -16493,7 +14991,7 @@ } }, "make-fetch-happen": { - "version": "9.0.4", + "version": "9.1.0", "bundled": true, "requires": { "agentkeepalive": "^4.1.3", @@ -16510,19 +15008,19 @@ "minipass-pipeline": "^1.2.4", "negotiator": "^0.6.2", "promise-retry": "^2.0.1", - "socks-proxy-agent": "^5.0.0", + "socks-proxy-agent": "^6.0.0", "ssri": "^8.0.0" } }, "mime-db": { - "version": "1.48.0", + "version": "1.49.0", "bundled": true }, "mime-types": { - "version": "2.1.31", + "version": "2.1.32", "bundled": true, "requires": { - "mime-db": "1.48.0" + "mime-db": "1.49.0" } }, "minimatch": { @@ -16533,7 +15031,7 @@ } }, "minipass": { - "version": "3.1.3", + "version": "3.1.5", "bundled": true, "requires": { "yallist": "^4.0.0" @@ -16547,7 +15045,7 @@ } }, "minipass-fetch": { - "version": "1.3.4", + "version": "1.4.1", "bundled": true, "requires": { "encoding": "^0.1.12", @@ -16688,11 +15186,11 @@ } }, "normalize-package-data": { - "version": "3.0.2", + "version": "3.0.3", "bundled": true, "requires": { "hosted-git-info": "^4.0.1", - "resolve": "^1.20.0", + "is-core-module": "^2.5.0", "semver": "^7.3.4", "validate-npm-package-license": "^3.0.1" } @@ -16775,13 +15273,23 @@ "bundled": true }, "npmlog": { - "version": "5.0.0", + "version": "5.0.1", "bundled": true, "requires": { - "are-we-there-yet": "^1.1.5", + "are-we-there-yet": "^2.0.0", "console-control-strings": "^1.1.0", "gauge": "^3.0.0", "set-blocking": "^2.0.0" + }, + "dependencies": { + "are-we-there-yet": { + "version": "2.0.0", + "bundled": true, + "requires": { + "delegates": "^1.0.0", + "readable-stream": "^3.6.0" + } + } } }, "number-is-nan": { @@ -16852,10 +15360,6 @@ "version": "1.0.1", "bundled": true }, - "path-parse": { - "version": "1.0.7", - "bundled": true - }, "performance-now": { "version": "2.1.0", "bundled": true @@ -16864,10 +15368,6 @@ "version": "1.0.0", "bundled": true }, - "process-nextick-args": { - "version": "2.0.1", - "bundled": true - }, "promise-all-reject-late": { "version": "1.0.1", "bundled": true @@ -16923,7 +15423,7 @@ "bundled": true }, "read-package-json": { - "version": "3.0.1", + "version": "4.1.1", "bundled": true, "requires": { "glob": "^7.1.1", @@ -16941,16 +15441,12 @@ } }, "readable-stream": { - "version": "2.3.7", + "version": "3.6.0", "bundled": true, "requires": { - "core-util-is": "~1.0.0", - "inherits": "~2.0.3", - "isarray": "~1.0.0", - "process-nextick-args": "~2.0.0", - "safe-buffer": "~5.1.1", - "string_decoder": "~1.1.1", - "util-deprecate": "~1.0.1" + "inherits": "^2.0.3", + "string_decoder": "^1.1.1", + "util-deprecate": "^1.0.1" } }, "readdir-scoped-modules": { @@ -17008,14 +15504,6 @@ } } }, - "resolve": { - "version": "1.20.0", - "bundled": true, - "requires": { - "is-core-module": "^2.2.0", - "path-parse": "^1.0.6" - } - }, "retry": { "version": "0.12.0", "bundled": true @@ -17028,7 +15516,7 @@ } }, "safe-buffer": { - "version": "5.1.2", + "version": "5.2.1", "bundled": true }, "safer-buffer": { @@ -17051,7 +15539,7 @@ "bundled": true }, "smart-buffer": { - "version": "4.1.0", + "version": "4.2.0", "bundled": true }, "socks": { @@ -17063,12 +15551,12 @@ } }, "socks-proxy-agent": { - "version": "5.0.0", + "version": "6.1.0", "bundled": true, "requires": { - "agent-base": "6", - "debug": "4", - "socks": "^2.3.3" + "agent-base": "^6.0.2", + "debug": "^4.3.1", + "socks": "^2.6.1" } }, "spdx-correct": { @@ -17092,7 +15580,7 @@ } }, "spdx-license-ids": { - "version": "3.0.9", + "version": "3.0.10", "bundled": true }, "sshpk": { @@ -17118,10 +15606,10 @@ } }, "string_decoder": { - "version": "1.1.1", + "version": "1.3.0", "bundled": true, "requires": { - "safe-buffer": "~5.1.0" + "safe-buffer": "~5.2.0" } }, "string-width": { @@ -17164,7 +15652,7 @@ } }, "tar": { - "version": "6.1.0", + "version": "6.1.11", "bundled": true, "requires": { "chownr": "^2.0.0", @@ -17304,12 +15792,11 @@ } }, "npm-run-path": { - "version": "2.0.2", - "resolved": 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"sha512-9iE1PgSik9HeIIw2JO94IidnE3eBoQrFJ3w7sFuzSX4DpmZ3v5sZpUiV5Swcf6mQEF+Y0ru8Neo+p+nyh2J+hQ==", - "dev": true - } - } - }, - "yocto-queue": { - "version": "0.1.0", - "resolved": "https://registry.npmjs.org/yocto-queue/-/yocto-queue-0.1.0.tgz", - "integrity": "sha512-rVksvsnNCdJ/ohGc6xgPwyN8eheCxsiLM8mxuE/t/mOVqJewPuO1miLpTHQiRgTKCLexL4MeAFVagts7HmNZ2Q==", - "dev": true } } } diff --git a/package.json b/package.json index 8fadd3f..de57d66 100644 --- a/package.json +++ b/package.json @@ -7,7 +7,7 @@ "test": "test" }, "scripts": { - "test": "mocha --max-old-space-size=16000 -t 10000s" + "test": "mocha --max-old-space-size=160000 -t 1000000s" }, "keywords": [ "circuit", @@ -23,7 +23,8 @@ "author": "jacksoom", "license": "GPL-3.0", "dependencies": { - "circom": "^0.5.45", + "circom_tester": "^0.0.7", + "circomlib": "^2.0.2", "jest": "^27.0.6", "node-rsa": "^1.1.1", "npm": "^7.20.1", @@ -31,7 +32,6 @@ }, "devDependencies": { "chai": "^4.1.0", - "circom": "0.5.45", "mocha": "^5.2.0", "snarkjs": "0.1.16" } diff --git a/test/circuits/div.circom b/test/circuits/div.circom index a0e69ac..2a615fd 100644 --- a/test/circuits/div.circom +++ b/test/circuits/div.circom @@ -1,3 +1,5 @@ -include "../../circuits/div.circom" +pragma circom 2.0.0; -component main = Divisible(64, 64); \ No newline at end of file +include "../../circuits/div.circom"; + +component main = div(64, 32); \ No newline at end of file diff --git a/test/circuits/mont_exp.circom b/test/circuits/mont_exp.circom deleted file mode 100644 index 7407681..0000000 --- a/test/circuits/mont_exp.circom +++ /dev/null @@ -1,3 +0,0 @@ -include "../../circuits/mont_exp.circom" - -component main = mont_exp(64, 32); diff --git a/test/circuits/montgomery_64_32.circom b/test/circuits/montgomery_64_32.circom deleted file mode 100644 index b939f2f..0000000 --- a/test/circuits/montgomery_64_32.circom +++ /dev/null @@ -1,3 +0,0 @@ -include "../../circuits/montgomery.circom" - -component main = mont_cios(64, 32); diff --git a/test/circuits/mul.circom b/test/circuits/mul.circom index adcaedc..43ad5bb 100644 --- a/test/circuits/mul.circom +++ b/test/circuits/mul.circom @@ -1,3 +1,5 @@ -include "../../circuits/mul.circom" +pragma circom 2.0.0; + +include "../../circuits/mul.circom"; component main = AsymmetricPolynomialMultiplier(32, 32); diff --git a/test/circuits/mul1.circom b/test/circuits/mul1.circom new file mode 100644 index 0000000..ba4c1cf --- /dev/null +++ b/test/circuits/mul1.circom @@ -0,0 +1,4 @@ +pragma circom 2.0.0; +include "../../circuits/div.circom"; + +component main = mul_mod(64, 32); diff --git a/test/circuits/mul_mod.circom b/test/circuits/mul_mod.circom new file mode 100644 index 0000000..c611ff8 --- /dev/null +++ b/test/circuits/mul_mod.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/mul.circom"; + +component main = mul_mod(64, 32); diff --git a/test/circuits/normalize.circom b/test/circuits/normalize.circom index 21cffdb..292638c 100644 --- a/test/circuits/normalize.circom +++ b/test/circuits/normalize.circom @@ -1,3 +1,5 @@ -include "../../circuits/montgomery.circom" +pragma circom 2.0.0; + +include "../../circuits/div.circom"; component main = normalize(64, 8); diff --git a/test/circuits/pow_mod.circom b/test/circuits/pow_mod.circom index a2d15c1..2b62c73 100644 --- a/test/circuits/pow_mod.circom +++ b/test/circuits/pow_mod.circom @@ -1,3 +1,5 @@ -include "../../circuits/pow_mod.circom" +pragma circom 2.0.0; + +include "../../circuits/pow_mod.circom"; component main = PowerModv2(64, 32, 17); \ No newline at end of file diff --git a/test/circuits/rsa_verify.circom b/test/circuits/rsa_verify.circom index b5059a1..eead962 100644 --- a/test/circuits/rsa_verify.circom +++ b/test/circuits/rsa_verify.circom @@ -1,3 +1,5 @@ -include "../../circuits/rsa_verify.circom" +pragma circom 2.0.0; + +include "../../circuits/rsa_verify.circom"; component main = RsaVerifyPkcs1v15(64, 32, 4); diff --git a/test/circuits/rsh.circom b/test/circuits/rsh.circom new file mode 100644 index 0000000..875989e --- /dev/null +++ b/test/circuits/rsh.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/div.circom"; + +component main = rsh(64, 64); diff --git a/test/circuits/sub.circom b/test/circuits/sub.circom deleted file mode 100644 index bc55b6b..0000000 --- a/test/circuits/sub.circom +++ /dev/null @@ -1,3 +0,0 @@ -include "../../circuits/sub.circom" - -component main = Sub(64, 32, 32); \ No newline at end of file diff --git a/test/div.js b/test/div.js index ba3ef7f..a5cde54 100644 --- a/test/div.js +++ b/test/div.js @@ -2,39 +2,57 @@ const path = require("path"); const bigInt = require("big-integer"); const Scalar = require("ffjavascript").Scalar; -const tester = require("circom").tester; +const wasm_tester = require("circom_tester").wasm; const { splitToArray } = require("./util.js"); -describe("Divisible. 64bits / 64chunks", function () { +describe("Div bignumber", function () { this.timeout(100000); let circuit; before(async () => { - circuit = await tester(path.join(__dirname, "circuits", "div.circom")); + circuit = await wasm_tester(path.join(__dirname, "circuits", "div.circom")); }); - it("64bits/32words. Montgomery exponent", async () => { + it("64bits/64words. bignumber left shift", async () => { + + const a = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); + const b = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704594"); + + const remain = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207") + + var inputA = a.multiply(b).add(remain); + + var result = inputA; + + var index = 64 * 32 - 1; + + for (var i = 0; i < index + 1; i++) { + if (result.greaterOrEquals(a.shiftLeft(2047 - i))) { + result = result.subtract(a.shiftLeft(2047 - i)); + } + } - var modulus = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); - var m_shift_2048 = modulus.shiftLeft(bigInt(2048)); var testCases = [{ - description: "calc powerMod", + description: "Div shift 1", input: { // 1844674407370955161600 - a: splitToArray(modulus.multiply(modulus), 64, 64), - b: splitToArray(modulus, 64, 64), - remainder: splitToArray(bigInt(0), 64, 64), + a: splitToArray(inputA, 64, 64), + b: splitToArray(a, 64, 32), + }, + + output: { + quotient: splitToArray(b, 64, 32), + remainder: splitToArray(remain, 64, 32), }, - output: { out: splitToArray(bigInt(0), 64, 64) }, }]; + for (var i = 0; i < testCases.length; i++) { - const witness = await circuit.calculateWitness(testCases[i].input, true); + const witness = await circuit.calculateWitness(testCases[i].input, true); - await circuit.assertOut(witness, testCases[i].output); + await circuit.assertOut(witness, testCases[i].output); } }); }); - diff --git a/test/mont_exp.js b/test/mont_exp.js deleted file mode 100644 index caa75ee..0000000 --- a/test/mont_exp.js +++ /dev/null @@ -1,60 +0,0 @@ -const path = require("path"); - -const bigInt = require("big-integer"); -const Scalar = require("ffjavascript").Scalar; -const tester = require("circom").tester; - -const { splitToArray } = require("./util.js"); - - -describe("Montgomery exponent 64bits/32words", function () { - this.timeout(100000); - - let circuit; - before(async () => { - circuit = await tester(path.join(__dirname, "circuits", "mont_exp.circom")); - }); - - it("64bits/32words. Montgomery exponent", async () => { - - const modulus = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); - - const m0inv = "12890617734997456953"; - - const sign = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); - - // p_A = (2 ** (64 * 32)) % modulus - const p_A = bigInt("1").shiftLeft(bigInt(64 * 32)).mod(modulus); - - // p_a = (a * r) % modulus - const p_a = sign.shiftLeft(bigInt(64 * 32)).mod(modulus); - - const result = sign.modPow(bigInt("65537"), modulus); - - - const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); - - var testCases = [{ - description: "calc powerMod", - input: { - // 1844674407370955161600 - p_a: splitToArray(p_a, 64, 32), - p_A: splitToArray(p_A, 64, 32), - - exp: 65537, - p: splitToArray(modulus, 64, 32), - m0ninv: m0inv, - }, - output: { out: splitToArray(result, 64, 32) }, - }]; - - - for (var i = 0; i < testCases.length; i++) { - const witness = await circuit.calculateWitness(testCases[i].input, true); - - await circuit.assertOut(witness, testCases[i].output); - } - }); -}); - - diff --git a/test/montgomery_reduction_64_32.js b/test/montgomery_reduction_64_32.js deleted file mode 100644 index f01a9f7..0000000 --- a/test/montgomery_reduction_64_32.js +++ /dev/null @@ -1,53 +0,0 @@ -const path = require("path"); - -const bigInt = require("big-integer"); -const Scalar = require("ffjavascript").Scalar; -const tester = require("circom").tester; - -const { splitToArray } = require("./util.js"); - - -describe("montgomery reduction 64bits/32words.", function () { - this.timeout(100000); - - let circuit; - before(async () => { - circuit = await tester(path.join(__dirname, "circuits", "montgomery_64_32.circom")); - }); - - it("64bits/32words. and 2048bits modulus", async () => { - const n = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); - - const m0ninv = "12890617734997456953"; - - const sign = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326132375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072576833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); - - // p_A = (2 ** (64 * 32)) % modulus - const p_A = bigInt("8090504373870994679612627222357908172758809628981258425784309037819139630322144671528165987384165881554828460235243846620448472971597333672100823634983655619029776040825234445735663391689708464300724937302764614255809108270510144580635273488990507929690660037680329790107264933452413195230785359054440855482839030680434847591404383105898217683831262927377177125853366529615844393994132094172487120401275260427990790479346279705147628336449313356516920320620281725278025278479103610090304469418605506553142667456793187284519065351481384226307824293012777494286385249767131477166992943622060450204816237194204381391317"); - - // p_a = (a * r) % modulus - const p_a = sign.shiftLeft(bigInt(32 * 64)).mod(n); - - const result = sign.multiply(sign).mod(n); - - var testCases = [{ - description: "one word", - input: { - x_raw: splitToArray(sign, 64, 32), - x: splitToArray(p_a, 64, 32), - y: splitToArray(sign, 64, 32), - modulus: splitToArray(n, 64, 32), - m0inv: m0ninv, - }, - output: { - out: splitToArray(result, 64, 32) - }, - }] - - for (var i = 0; i < testCases.length; i++) { - const witness = await circuit.calculateWitness(testCases[i].input, true); - - await circuit.assertOut(witness, testCases[i].output); - } - }); -}); diff --git a/test/mul.js b/test/mul.js index 0ba33c5..71decae 100644 --- a/test/mul.js +++ b/test/mul.js @@ -2,17 +2,17 @@ const path = require("path"); const bigInt = require("big-integer"); const Scalar = require("ffjavascript").Scalar; -const tester = require("circom").tester; +const wasm_tester = require("circom_tester").wasm; const { splitToArray } = require("./util.js"); -describe("Montgomery exponent 64bits/32words111111", function () { +describe("Polynomial Multiplier", function () { this.timeout(100000); let circuit; before(async () => { - circuit = await tester(path.join(__dirname, "circuits", "mul.circom")); + circuit = await wasm_tester(path.join(__dirname, "circuits", "mul.circom")); }); it("64bits/1words. Polynomial Multiplier", async () => { diff --git a/test/mul_mod.js b/test/mul_mod.js new file mode 100644 index 0000000..7c670d1 --- /dev/null +++ b/test/mul_mod.js @@ -0,0 +1,46 @@ +const path = require("path"); + +const bigInt = require("big-integer"); +const Scalar = require("ffjavascript").Scalar; +const wasm_tester = require("circom_tester").wasm; + +const { splitToArray } = require("./util.js"); + + +describe("Mul mod bignumber", function () { + this.timeout(100000); + + let circuit; + before(async () => { + circuit = await wasm_tester(path.join(__dirname, "circuits", "mul_mod.circom")); + }); + + it("64bits/64words. bignumber left shift", async () => { + + const a = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); + const b = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704594"); + + const modulus = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407") + + var testCases = [{ + description: "Div shift 1", + input: { + // 1844674407370955161600 + a: splitToArray(a, 64, 32), + b: splitToArray(b, 64, 32), + modulus: splitToArray(modulus, 64, 32), + }, + + output: { + out: splitToArray(a.multiply(b).mod(modulus), 64, 32), + }, + }]; + + + for (var i = 0; i < testCases.length; i++) { + const witness = await circuit.calculateWitness(testCases[i].input, true); + + await circuit.assertOut(witness, testCases[i].output); + } + }); +}); diff --git a/test/normalize.js b/test/normalizes.js similarity index 83% rename from test/normalize.js rename to test/normalizes.js index 55a7f8c..81fa28a 100644 --- a/test/normalize.js +++ b/test/normalizes.js @@ -2,31 +2,25 @@ const path = require("path"); const bigInt = require("big-integer"); const Scalar = require("ffjavascript").Scalar; -const tester = require("circom").tester; +const wasm_tester = require("circom_tester").wasm; const { splitToArray } = require("./util.js"); -function print(circuit, w, s) { - console.log(s + ": " + w[circuit.getSignalIdx(s)]); -} - - -describe("Normalize test. a > modulus ? a - modulus : a", function () { +describe("Normalizes bignumber", function () { this.timeout(100000); let circuit; before(async () => { - circuit = await tester(path.join(__dirname, "circuits", "normalize.circom")); + circuit = await wasm_tester(path.join(__dirname, "circuits", "normalize.circom")); }); - it("normalize template", async () => { + it("64bits/64words. bignumber left shift", async () => { var testCases = [{ description: "One word. No need for sub", input: { a: splitToArray(bigInt("4"), 64, 8), modulus: splitToArray(bigInt("5"), 64, 8), - a_carry: 0, }, output: { out: [4, 0, 0, 0, 0, 0, 0, 0] }, }, { @@ -34,7 +28,6 @@ describe("Normalize test. a > modulus ? a - modulus : a", function () { input: { a: splitToArray(bigInt("45613215616541654654"), 64, 8), modulus: splitToArray(bigInt("45613215616541654651"), 64, 8), - a_carry: 0, }, output: { out: [3, 0, 0, 0, 0, 0, 0, 0] }, }, { @@ -42,7 +35,6 @@ describe("Normalize test. a > modulus ? a - modulus : a", function () { input: { a: splitToArray(bigInt("35165413564654612131346546516513054615640"), 64, 8), modulus: splitToArray(bigInt("35165413564654612131346546516513054615636"), 64, 8), - a_carry: 0, }, output: { out: [4, 0, 0, 0, 0, 0, 0, 0] }, }, { @@ -50,7 +42,6 @@ describe("Normalize test. a > modulus ? a - modulus : a", function () { input: { a: splitToArray(bigInt("3516541356445124321613556156315611321654561563153615613213156315615615612316156123132123132165156465132165465465411651656546126513054615644"), 64, 8), modulus: splitToArray(bigInt("3516541356445124321613556156311611321654561563153615613213156315615615612316156123132123132165156465132165465465411651656546126513054615640"), 64, 8), - a_carry: 0, }, output: { out: splitToArray((bigInt("3516541356445124321613556156315611321654561563153615613213156315615615612316156123132123132165156465132165465465411651656546126513054615644").subtract(bigInt("3516541356445124321613556156311611321654561563153615613213156315615615612316156123132123132165156465132165465465411651656546126513054615640"))), 64, 8) }, } @@ -58,6 +49,7 @@ describe("Normalize test. a > modulus ? a - modulus : a", function () { for (var i = 0; i < testCases.length; i++) { const witness = await circuit.calculateWitness(testCases[i].input, true); + await circuit.assertOut(witness, testCases[i].output); } }); diff --git a/test/pow_mod.js b/test/pow_mod.js new file mode 100644 index 0000000..d4d0f6e --- /dev/null +++ b/test/pow_mod.js @@ -0,0 +1,44 @@ +const path = require("path"); + +const bigInt = require("big-integer"); +const Scalar = require("ffjavascript").Scalar; +const wasm_tester = require("circom_tester").wasm; + +const { splitToArray } = require("./util.js"); + + +describe("Pow mod", function () { + this.timeout(100000); + + let circuit; + before(async () => { + circuit = await wasm_tester(path.join(__dirname, "circuits", "pow_mod.circom")); + }); + + it("64bits/1words. Polynomial Multiplier", async () => { + + //var powmod_2048_256; + var m = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); + var b = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); + var e = bigInt(65537); + + + var testCases = [{ + description: "calc powerMod", + input: { + // 1844674407370955161600 + base: splitToArray(b, 64, 32), + exp: splitToArray(e, 64, 32), + modulus: splitToArray(m, 64, 32), + }, + output: { out: b.modPow(e, m) }, + }]; + + + for (var i = 0; i < testCases.length; i++) { + const witness = await circuit.calculateWitness(testCases[i].input, true); + + await circuit.assertOut(witness, testCases[i].output); + } + }); +}); diff --git a/test/rsa_verify.js b/test/rsa_verify.js index 169cbb7..0560426 100644 --- a/test/rsa_verify.js +++ b/test/rsa_verify.js @@ -1,101 +1,101 @@ -const chai = require("chai"); -const path = require("path"); -const snarkjs = require("snarkjs"); -const bigInt = require("big-integer"); -const assert = chai.assert; -const tester = require("circom").tester; - - -const compiler = require("circom"); - -const { splitToWords, assertWitnessHas, splitToArray } = require("./util.js"); - -chai.should(); - -describe("Rsa pkcs1v15 verify", () => { - let circuit; - before(async () => { - circuit = await tester(path.join(__dirname, "circuits", "rsa_verify.circom")); - }); - - - it("2048 bits public key. correct sign. 1", async () => { - // public key params. decimal - const modulus = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); - const exp = 65537; - // signature. decimal - const sign = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); - // hashed data. decimal - const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); - - const p_a = sign.shiftLeft(bigInt(64 * 32)).mod(modulus); - const p_A = bigInt(1).shiftLeft(bigInt(64 * 32)).mod(modulus); - const m0ninv = "12890617734997456953"; - - const input = { - p_a: splitToArray(p_a, 64, 32), - p_A: splitToArray(p_A, 64, 32), - exp: exp, - p: splitToArray(modulus, 64, 32), - m0ninv: m0ninv, - hashed: splitToArray(hashed, 64, 4), - }; +// const chai = require("chai"); +// const path = require("path"); +// const snarkjs = require("snarkjs"); +// const bigInt = require("big-integer"); +// const assert = chai.assert; +// const tester = require("circom").tester; + + +// const compiler = require("circom"); + +// const { splitToWords, assertWitnessHas, splitToArray } = require("./util.js"); + +// chai.should(); + +// describe("Rsa pkcs1v15 verify", () => { +// let circuit; +// before(async () => { +// circuit = await tester(path.join(__dirname, "circuits", "rsa_verify.circom")); +// }); + + +// it("2048 bits public key. correct sign. 1", async () => { +// // public key params. decimal +// const modulus = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); +// const exp = 65537; +// // signature. decimal +// const sign = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); +// // hashed data. decimal +// const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); + +// const p_a = sign.shiftLeft(bigInt(64 * 32)).mod(modulus); +// const p_A = bigInt(1).shiftLeft(bigInt(64 * 32)).mod(modulus); +// const m0ninv = "12890617734997456953"; + +// const input = { +// p_a: splitToArray(p_a, 64, 32), +// p_A: splitToArray(p_A, 64, 32), +// exp: exp, +// p: splitToArray(modulus, 64, 32), +// m0ninv: m0ninv, +// hashed: splitToArray(hashed, 64, 4), +// }; - const witness = circuit.calculateWitness(input, true); - }); - - it("2048 bits public key. correct sign. 2", () => { - // public key params. decimal - const modulus = bigInt("24226501697440012621102249466312043787685293040734225606346036389705515508545746221669035424138747582133889500686654172873671086178893587422987328751464627501601101326475761646014534358699943642495332701081302954020983110372109611581202820849485662540890985814355975252780310958088652613376767040069489530039075302709233494829280591680666351811024913107949144932224439129715181798714328219977771472462901856297952813239115577652450722815852332547886777292613005505949100406231716599634852632308325816916535875123863510650526931916871614411907700873376659841257216885666098127478325534982891697988739616416855214839339"); - const exp = bigInt(65537); - // signature. decimal - const sign = bigInt("18928545496959757512579438348223103860103247450097569223971486743312798156950374943336714741350742176674694049986481729075548718599712271054643150030165230392897481507710187505775911256946250999396358633095137650326818007610162375520522758780751710735664264200260854016867498935206556916247099180950775474524799944404833222133011134000549939512938205188018503377612813102061504146765520561811620128786062447005833886367575841545493555268747671930923697279690399480501746857825917608323993022396398648205737336204493624060285359455268389160802763426461171262704764369336704988874821898000892148693988241020931055723252"); - // hashed data. decimal - const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); - - const p_a = sign.shiftLeft(bigInt(64 * 32)).mod(modulus); - const p_A = bigInt(1).shiftLeft(bigInt(64 * 32)).mod(modulus); - const m0ninv = "4736324870124914557"; - - const input = { - p_a: splitToArray(p_a, 64, 32), - p_A: splitToArray(p_A, 64, 32), - exp: exp, - p: splitToArray(modulus, 64, 32), - m0ninv: m0ninv, - hashed: splitToArray(hashed, 64, 4), - }; - - const witness = circuit.calculateWitness(input, true); - }); - - it("2048 bits public key. uncorrect sign. ", () => { - // public key params. decimal - const modulus = bigInt("24226501697440012621102249466312043787685293040734225606346036389705515508545746221669035424138747582133889500686654172873671086178893587422987328751464627501601101326475761646014534358699943642495332701081302954020983110372109611581202820849485662540890985814355975252780310958088652613376767040069489530039075302709233494829280591680666351811024913107949144932224439129715181798714328219977771472462901856297952813239115577652450722815852332547886777292613005505949100406231716599634852632308325816916535875123863510650526931916871614411907700873376659841257216885666098127478325534982891697988739616416855214839339"); - const exp = bigInt(65537); - // signature. decimal - const sign = bigInt("18928545496959756512579438348223103860103247450097569223971486743312798156950374943336714741350742176674694049986481729075548718599712271054643150030165230392897481507710187505775911256946250999396358633095137650326818007610162375520522758780751710735664264200260854016867498935206556916247099180950775474524799944404833222133011134000549939512938205188018503377612813102061504146765520561811620128786062447005833886367575841545493555268747671930923697279690399480501746857825917608323993022396398648205737336204493624060285359455268389160802763426461171262704764369336704988874821898000892148693988241020931055723252"); - // hashed data. decimal - const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); - - - const p_a = sign.shiftLeft(bigInt(64 * 32)).mod(modulus); - const p_A = bigInt(1).shiftLeft(bigInt(64 * 32)).mod(modulus); - const m0ninv = "4736324870124914557"; - - const input = { - p_a: splitToArray(p_a, 64, 32), - p_A: splitToArray(p_A, 64, 32), - exp: exp, - p: splitToArray(modulus, 64, 32), - m0ninv: m0ninv, - hashed: splitToArray(hashed, 64, 4), - }; - - (function () { - const witness = rsa_pkvs1v15_circuit.calculateWitness(input); - }.should.throw()); - - }); -}); +// const witness = circuit.calculateWitness(input, true); +// }); + +// it("2048 bits public key. correct sign. 2", () => { +// // public key params. decimal +// const modulus = bigInt("24226501697440012621102249466312043787685293040734225606346036389705515508545746221669035424138747582133889500686654172873671086178893587422987328751464627501601101326475761646014534358699943642495332701081302954020983110372109611581202820849485662540890985814355975252780310958088652613376767040069489530039075302709233494829280591680666351811024913107949144932224439129715181798714328219977771472462901856297952813239115577652450722815852332547886777292613005505949100406231716599634852632308325816916535875123863510650526931916871614411907700873376659841257216885666098127478325534982891697988739616416855214839339"); +// const exp = bigInt(65537); +// // signature. decimal +// const sign = bigInt("18928545496959757512579438348223103860103247450097569223971486743312798156950374943336714741350742176674694049986481729075548718599712271054643150030165230392897481507710187505775911256946250999396358633095137650326818007610162375520522758780751710735664264200260854016867498935206556916247099180950775474524799944404833222133011134000549939512938205188018503377612813102061504146765520561811620128786062447005833886367575841545493555268747671930923697279690399480501746857825917608323993022396398648205737336204493624060285359455268389160802763426461171262704764369336704988874821898000892148693988241020931055723252"); +// // hashed data. decimal +// const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); + +// const p_a = sign.shiftLeft(bigInt(64 * 32)).mod(modulus); +// const p_A = bigInt(1).shiftLeft(bigInt(64 * 32)).mod(modulus); +// const m0ninv = "4736324870124914557"; + +// const input = { +// p_a: splitToArray(p_a, 64, 32), +// p_A: splitToArray(p_A, 64, 32), +// exp: exp, +// p: splitToArray(modulus, 64, 32), +// m0ninv: m0ninv, +// hashed: splitToArray(hashed, 64, 4), +// }; + +// const witness = circuit.calculateWitness(input, true); +// }); + +// it("2048 bits public key. uncorrect sign. ", () => { +// // public key params. decimal +// const modulus = bigInt("24226501697440012621102249466312043787685293040734225606346036389705515508545746221669035424138747582133889500686654172873671086178893587422987328751464627501601101326475761646014534358699943642495332701081302954020983110372109611581202820849485662540890985814355975252780310958088652613376767040069489530039075302709233494829280591680666351811024913107949144932224439129715181798714328219977771472462901856297952813239115577652450722815852332547886777292613005505949100406231716599634852632308325816916535875123863510650526931916871614411907700873376659841257216885666098127478325534982891697988739616416855214839339"); +// const exp = bigInt(65537); +// // signature. decimal +// const sign = bigInt("18928545496959756512579438348223103860103247450097569223971486743312798156950374943336714741350742176674694049986481729075548718599712271054643150030165230392897481507710187505775911256946250999396358633095137650326818007610162375520522758780751710735664264200260854016867498935206556916247099180950775474524799944404833222133011134000549939512938205188018503377612813102061504146765520561811620128786062447005833886367575841545493555268747671930923697279690399480501746857825917608323993022396398648205737336204493624060285359455268389160802763426461171262704764369336704988874821898000892148693988241020931055723252"); +// // hashed data. decimal +// const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); + + +// const p_a = sign.shiftLeft(bigInt(64 * 32)).mod(modulus); +// const p_A = bigInt(1).shiftLeft(bigInt(64 * 32)).mod(modulus); +// const m0ninv = "4736324870124914557"; + +// const input = { +// p_a: splitToArray(p_a, 64, 32), +// p_A: splitToArray(p_A, 64, 32), +// exp: exp, +// p: splitToArray(modulus, 64, 32), +// m0ninv: m0ninv, +// hashed: splitToArray(hashed, 64, 4), +// }; + +// (function () { +// const witness = rsa_pkvs1v15_circuit.calculateWitness(input); +// }.should.throw()); + +// }); +// }); diff --git a/test/rsh.js b/test/rsh.js new file mode 100644 index 0000000..8804578 --- /dev/null +++ b/test/rsh.js @@ -0,0 +1,39 @@ +const path = require("path"); + +const bigInt = require("big-integer"); +const Scalar = require("ffjavascript").Scalar; +const wasm_tester = require("circom_tester").wasm; + +const { splitToArray } = require("./util.js"); + + +describe("Rsh bignumber", function () { + this.timeout(100000); + + let circuit; + before(async () => { + circuit = await wasm_tester(path.join(__dirname, "circuits", "rsh.circom")); + }); + + it("64bits/64words. bignumber left shift", async () => { + + const x = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593").shiftLeft(32 * 64); + + const result = x; + var testCases = [{ + description: "Right shift 1", + input: { + // 1844674407370955161600 + a: splitToArray(x, 64, 64), + }, + output: { out: splitToArray(result.shiftRight(1), 64, 64)}, + }]; + + + for (var i = 0; i < testCases.length; i++) { + const witness = await circuit.calculateWitness(testCases[i].input, true); + + await circuit.assertOut(witness, testCases[i].output); + } + }); +}); diff --git a/test/sub.js b/test/sub.js deleted file mode 100644 index 6f14023..0000000 --- a/test/sub.js +++ /dev/null @@ -1,44 +0,0 @@ -// const path = require("path"); - -const bigInt = require("big-integer"); -const Scalar = require("ffjavascript").Scalar; -const tester = require("circom").tester; - -const { splitToArray } = require("./util.js"); - - -describe("big int sub test", function () { - this.timeout(100000); - - let circuit; - before(async () => { - circuit = await tester(path.join(__dirname, "circuits", "sub.circom")); - }); - - it("64bits/1words. Polynomial Multiplier", async () => { - - const x = bigInt("1"); - - const y = bigInt("1"); - - const result = x.multiply(y); - var testCases = [{ - description: "calc powerMod", - input: { - // 1844674407370955161600 - x: splitToArray(x, 64, 32), - y: splitToArray(y, 64, 32), - - }, - output: { out: splitToArray(x.subtract(y), 64, 1) }, - }]; - - - for (var i = 0; i < testCases.length; i++) { - const witness = await circuit.calculateWitness(testCases[i].input, true); - - await circuit.assertOut(witness, testCases[i].output); - } - }); -}); - From 2efd568e85c5800ed2bd3ba1893ea2ebf2b41744 Mon Sep 17 00:00:00 2001 From: jacksoom Date: Mon, 3 Apr 2023 02:13:37 +0800 Subject: [PATCH 15/15] Upgrade powmod alg --- .gitmodules | 5 + README.md | 31 +- circom-ecdsa | 1 + circomlib | 2 +- circuits/div.circom | 222 - circuits/mul.circom | 129 - circuits/pow_mod.circom | 13 +- circuits/rsa_verify.circom | 23 +- circuits/sub.circom | 48 - package-lock.json | 17868 ++-------------- package.json | 36 +- test/circuits/div.circom | 5 - test/circuits/mul.circom | 5 - test/circuits/mul1.circom | 4 - test/circuits/mul_mod.circom | 5 - test/circuits/normalize.circom | 5 - .../{pow_mod.circom => pow_mod_64_32.circom} | 2 +- test/circuits/rsa_verify.circom | 5 - test/circuits/rsa_verify_pkcs1v15.circom | 5 + test/circuits/rsh.circom | 5 - test/div.js | 58 - test/mul.js | 49 - test/mul_mod.js | 46 - test/normalizes.js | 56 - test/pow_mod.js | 44 - test/rsa_verify.js | 101 - test/rsh.js | 39 - test/test_pow_mod.ts | 70 + test/test_rsa_pkcs1v15.ts | 71 + test/util.js | 32 - tsconfig.json | 15 + yarn.lock | 1307 ++ 32 files changed, 2980 insertions(+), 17327 deletions(-) create mode 160000 circom-ecdsa delete mode 100644 circuits/div.circom delete mode 100644 circuits/mul.circom delete mode 100644 circuits/sub.circom delete mode 100644 test/circuits/div.circom delete mode 100644 test/circuits/mul.circom delete mode 100644 test/circuits/mul1.circom delete mode 100644 test/circuits/mul_mod.circom delete mode 100644 test/circuits/normalize.circom rename test/circuits/{pow_mod.circom => pow_mod_64_32.circom} (61%) delete mode 100644 test/circuits/rsa_verify.circom create mode 100644 test/circuits/rsa_verify_pkcs1v15.circom delete mode 100644 test/circuits/rsh.circom delete mode 100644 test/div.js delete mode 100644 test/mul.js delete mode 100644 test/mul_mod.js delete mode 100644 test/normalizes.js delete mode 100644 test/pow_mod.js delete mode 100644 test/rsa_verify.js delete mode 100644 test/rsh.js create mode 100644 test/test_pow_mod.ts create mode 100644 test/test_rsa_pkcs1v15.ts delete mode 100644 test/util.js create mode 100644 tsconfig.json create mode 100644 yarn.lock diff --git a/.gitmodules b/.gitmodules index 30f63a3..5c1ebba 100644 --- a/.gitmodules +++ b/.gitmodules @@ -1,3 +1,8 @@ [submodule "circomlib"] path = circomlib url = https://github.com/iden3/circomlib.git + +[submodule "circom-ecdsa"] + path = circom-ecdsa + url = https://github.com/agnxsh/circom-ecdsa.git + branch = 0xagnish/circom_tester-fix diff --git a/README.md b/README.md index 23d888a..a02c8e6 100644 --- a/README.md +++ b/README.md @@ -1,24 +1,33 @@ # circom-rsa-verify + This repository contains an implementation of a Zero Knowledge Proof for RSA signature verify for the [Circom](https://docs.circom.io) language. -Currently supported pkcs1v15 + sha256 and exponent is 65537. The Montgomery Exponentiation algorithm and Montgomery CIOS product is used to calculate large numbers [Modular exponentiation](https://en.wikipedia.org/wiki/Modular_exponentiation) +Currently supported pkcs1v15 + sha256 and exponent is 65537. The Montgomery Exponentiation algorithm and Montgomery CIOS product is used to calculate large numbers [Modular exponentiation](https://en.wikipedia.org/wiki/Modular_exponentiation) + # Getting started + Running circuits test cases + ```sh -git submodule update --init --recursive; npm install; npm test +git submodule update --init --recursive; npm i; npm test ``` ## Circuits Benchmark + RSA verify: pkcs1v15/sha256/2048 bits key -* Env: Mac mini (M1, 2020). 8 cores. 8 threads - -Circuit infomation -* Curve: bn-128 -* Wires: 103 -* Constraints: 65 -* Public Inputs: 102 -* Memory consumption: 120M+ -* Time consumption: 40ms + +* Env: Mac mini (M1, 2020). 8 cores. 8 threads + +Circuit infomation + +* Curve: bn-128 +* Wires: 103 +* Constraints: 65 +* Public Inputs: 102 +* Memory consumption: 120M+ +* Time consumption: 40ms + ## Ref + 1. [Montgomery modular multiplication](https://en.wikipedia.org/wiki/Montgomery_modular_multiplication) 2. [Arithmetic of Finite Fields](https://www.researchgate.net/publication/319538235_Arithmetic_of_Finite_Fields) diff --git a/circom-ecdsa b/circom-ecdsa new file mode 160000 index 0000000..a9b0e06 --- /dev/null +++ b/circom-ecdsa @@ -0,0 +1 @@ +Subproject commit a9b0e06a052f724c6aff6524e9ce2e56d1f3526e diff --git a/circomlib b/circomlib index a8196b2..cff5ab6 160000 --- a/circomlib +++ b/circomlib @@ -1 +1 @@ -Subproject commit a8196b20101be34efe6d7583ba666574c97b9164 +Subproject commit cff5ab6288b55ef23602221694a6a38a0239dcc0 diff --git a/circuits/div.circom b/circuits/div.circom deleted file mode 100644 index 6f74da3..0000000 --- a/circuits/div.circom +++ /dev/null @@ -1,222 +0,0 @@ -pragma circom 2.0.0; - -include "../circomlib/circuits/bitify.circom"; - -// constraint (a - remainder) % b = 0 -template Divisible(w, n) { - signal input a[n]; - // b == n / 2 * w bits - signal input b[n]; - - signal input remainder[n]; - - signal out[n]; - // signal output divisible_res; - - var t[n + 1]; - t[0] = a[0]; - - for (var i = 1; i < n; i++) { - t[i] = a[i] + (t[i - 1] >> w); - } - - // witness - var lo_bit_var = (1 << w) - 1; - // 0b1000000000000000000000000000000000000000000000000000000000000000 - var highest = 1 << (w - 1); - - for (var i = 0; i < n; i++) { - t[i] = t[i] & lo_bit_var; - } - - var t_b_rsh_c[n + 1]; - - var c = n \ 2; - // b << (w * c) - for (var i = 0; i < n; i++) { - if (i < c) { - t_b_rsh_c[i] = 0; - } else { - t_b_rsh_c[i] = b[i - c]; - } - } - t_b_rsh_c[n] = 0; - - var temp; - // // rsh 1 - component normalizes[w * n]; - for (var i = 0; i < w * n; i++) { - normalizes[i] = normalize(w, n); - - if (i == 0) { - for (var j = 0; j < n; j++) { - normalizes[i].a[j] <== a[j]; - normalizes[i].modulus[j] <== b[j]; - } - } else { - for (var j = 0; j < n; j++) { - normalizes[i].a[j] <== normalizes[i - 1].out[j]; - normalizes[i].modulus[j] <== t_b_rsh_c[j]; - } - // rsh 1 - for (var j = 0; j < n; j++) { - if (t_b_rsh_c[j] != 0) { - t_b_rsh_c[j] = t_b_rsh_c[j] >> 1; - } - - if ((t_b_rsh_c[j + 1] & 1) == 1) { - t_b_rsh_c[j] = t_b_rsh_c[j] ^ highest; - } - } - } - } - - for (var i = 0; i < n; i++) { - normalizes[w * n - 1].out[i] === remainder[i]; - } -} - - -// a > modulus ? a - modulus : a; -template normalize(w, nb) {/*{{{*/ - signal input a[nb]; - signal input modulus[nb]; - - signal output out[nb]; - signal output has_sub; - - var need_sub = 3; - - for (var i = nb - 1; i >= 0; i--) { - if (need_sub == 3 && a[i] > modulus[i]) { - need_sub = 1; - } - - if (need_sub == 3 && a[i] < modulus[i]) { - need_sub = 0; - } - } - - has_sub <-- need_sub; - (has_sub) * (has_sub - 1) === 0; - - var borrow = 0; - var temp = 0; - - var t[nb]; - // out = a - for (var i = 0;i < nb; i++) { - t[i] = a[i]; - } - - var carry_v = 1 << w; - - if (has_sub != 0) { - for (var i = 0; i < nb; i++) { - temp = a[i]; - - if (temp < (modulus[i] + borrow)) { - temp += (carry_v - borrow); - borrow = 1; - }else { - temp = temp - borrow; - borrow = 0; - } - - t[i] = temp - modulus[i]; - } - } - - for (var i = 0; i< nb; i++) { - out[i] <-- t[i]; - } -}/*}}}*/ - -template div(w, n) { - signal input a[2 * n]; - signal input b[n]; - - - signal output quotient[n]; - signal output remainder[n]; - - component rshs[w * n]; - for (var i = 0; i < w * n; i++) { - rshs[i] = rsh(w, 2 * n); - - if (i == 0) { - for (var j = 0; j < 2 * n; j++) { - if (j < n) { - rshs[i].a[j] <-- 0; - } else { - rshs[i].a[j] <-- b[j - n]; - } - } - } else { - for (var j = 0; j < 2 * n; j++) { - rshs[i].a[j] <-- rshs[i - 1].out[j]; - } - } - } - - // init normalizes - component normalizes[w * n]; - - for (var i = 0; i < n * w; i++) { - normalizes[i] = normalize(w, 2 * n) ; - } - - // normalizes[0] - for (var i = 0; i < 2 * n; i++) { - normalizes[0].a[i] <== a[i]; - - normalizes[0].modulus[i] <== rshs[0].out[i]; - } - - for (var i = 1; i < n * w; i++) { - for (var j = 0; j < 2 * n; j++) { - normalizes[i].a[j] <-- normalizes[i - 1].out[j]; - normalizes[i].modulus[j] <-- rshs[i].out[j]; - } - } - - for (var i = 0; i < n; i++) { - remainder[i] <== normalizes[n * w - 1].out[i]; - } - - component bits2nums[n]; - for (var i = 0; i < n; i++) { - bits2nums[i] = Bits2Num(w); - - var start_index = i * w; - for (var j = 0; j < w; j++) { - bits2nums[i].in[j] <== normalizes[start_index + w - 1 - j].has_sub; - } - - quotient[n - i - 1] <== bits2nums[i].out; - } -} - -template rsh(w, n) { - signal input a[n]; - - signal output out[n]; - - signal low_bits[n]; - for (var i = 0; i < n; i++) { - low_bits[i] <-- a[i] & 1; - - low_bits[i] * (low_bits[i] - 1) === 0; - } - - var highest = 1 << (w - 1); - - out[n - 1] <-- (a[n - 1] >> 1); - - out[n - 1] * 2 + low_bits[n - 1] === a[n - 1]; - - for (var i = 0; i < n - 1; i++) { - out[i] <== (a[i] - low_bits[i]) / 2 + highest * low_bits[i + 1]; - } -} - diff --git a/circuits/mul.circom b/circuits/mul.circom deleted file mode 100644 index 89479f5..0000000 --- a/circuits/mul.circom +++ /dev/null @@ -1,129 +0,0 @@ -pragma circom 2.0.0; - -include "../circomlib/circuits/bitify.circom"; -include "./div.circom"; - -template AsymmetricPolynomialMultiplier(d0, d1) { - // Implementation of _xjSnark_'s multiplication. - // Parameters/Inputs: - // * `in0` with degree less than `d0` - // * `in1` with degree less than `d1` - // Uses a linear number of constraints ($d0 + d1 - 1$). - signal input in0[d0]; - signal input in1[d1]; - - // Output has degree less than `d` - var d = d0 + d1 - 1; - // Witness value. - signal output out[d]; - - // Witness computation. - var acc; - for (var i = 0; i < d; i++) { - acc = 0; - var start = 0; - if (d1 < i + 1) { - start = i + 1 - d1; - } - for (var j = start; j < d0 && j <= i; j++) { - var k = i - j; - acc += in0[j] * in1[k]; - } - out[i] <-- acc; - } - - // Conditions. - var in0Val; - var in1Val; - var outVal; - for (var c = 0; c < d; c++) { - in0Val = 0; - in1Val = 0; - outVal = 0; - for (var i = 0; i < d0; i++) { - in0Val += (c + 1) ** i * in0[i]; - } - - for (var i = 0; i < d1; i++) { - in1Val += (c + 1) ** i * in1[i]; - } - - for (var i = 0; i < d; i++) { - outVal += (c + 1) ** i * out[i]; - } - - in0Val * in1Val === outVal; - } -} - -template mul_mod(w, n) { - signal input a[n]; - signal input b[n]; - signal input modulus[n]; - - signal output out[n]; - - var lo_bit_var = (1 << w) - 1; - // Witness - // Asymmetric Polynomial Multiplier. Each slot are converted to 64bits. - var d2 = 2 * n - 1; - - var result[d2]; - var carry = 0; - var acc; - - component divisible = div(w, n); - - for (var i = 0; i < d2; i++) { - var start = 0; - var acc = carry; - - if (n < i + 1) { - start = i + 1 - n; - } - - for (var j = start; j < n && j <= i; j++) { - var k = i - j; - acc += a[j] * b[k]; - } - - carry = acc >> w; - acc = acc & lo_bit_var; - - divisible.a[i] <-- acc; - } - - divisible.a[2 * n - 1] <-- carry; - - for (var i = 0; i < n; i++) { - divisible.b[i] <-- modulus[i]; - } - - - component left = AsymmetricPolynomialMultiplier(n, n); - component right = AsymmetricPolynomialMultiplier(n, n); - for (var i = 0; i < n; i++) { - left.in0[i] <== a[i]; - left.in1[i] <== b[i]; - - right.in0[i] <== modulus[i]; - right.in1[i] <== divisible.quotient[i]; - } - - // TODO: group eq - // var doubleN = 2 * n; - // var maxWord = n * lo_bit_var * lo_bit_var + lo_bit_var; - // component carryR = EqualWhenCarriedRegroup(maxWord, w, doubleN - 1); - // for (var i = 0; i < doubleN - 1; i++) { - // if (i < n) { - // carryR.a[i] <-- left.out[i]; - // carryR.b[i] <-- right.out[i] + out[i]; - // } else { - // carryR.a[i] <-- left.out[i]; - // carryR.b[i] <-- right.out[i]; - // } - // } - for (var i = 0; i < n; i++) { - out[i] <-- divisible.remainder[i]; - } -} diff --git a/circuits/pow_mod.circom b/circuits/pow_mod.circom index 630e76f..6c8e566 100644 --- a/circuits/pow_mod.circom +++ b/circuits/pow_mod.circom @@ -1,12 +1,11 @@ pragma circom 2.0.0; - -include "../circomlib/circuits/bitify.circom"; -include "mul.circom"; + +include "../circom-ecdsa/circuits/bigint.circom"; // w = 32 // base ** exp mod modulus // nb is the length of the input number // exp = 65537 -template PowerModv2(w, nb, e_bits) { +template PowerMod(w, nb, e_bits) { signal input base[nb]; signal input exp[nb]; signal input modulus[nb]; @@ -16,10 +15,10 @@ template PowerModv2(w, nb, e_bits) { component muls[e_bits + 2]; for (var i = 0; i < e_bits + 2; i++) { - muls[i] = mul_mod(w, nb); + muls[i] = BigMultModP(w, nb); // modulus params for (var j = 0; j < nb; j++) { - muls[i].modulus[j] <== modulus[j]; + muls[i].p[j] <== modulus[j]; } } @@ -66,4 +65,4 @@ template PowerModv2(w, nb, e_bits) { for (var i = 0; i < nb; i++) { out[i] <== muls[result_index].out[i]; } -} \ No newline at end of file +} diff --git a/circuits/rsa_verify.circom b/circuits/rsa_verify.circom index aa60711..bb9b967 100644 --- a/circuits/rsa_verify.circom +++ b/circuits/rsa_verify.circom @@ -1,7 +1,22 @@ pragma circom 2.0.0; -include "../circomlib/circuits/bitify.circom"; -include "./power_mod.cicom"; +include "./pow_mod.circom"; + +template NumToBits(n) { + signal input in; + signal output out[n]; + var lc1=0; + + var e2=1; + for (var i = 0; i> i) & 1; + out[i] * (out[i] -1 ) === 0; + lc1 += out[i] * e2; + e2 = e2+e2; + } + + lc1 === in; +} // Pkcs1v15 + Sha256 // exp 65537 @@ -13,7 +28,7 @@ template RsaVerifyPkcs1v15(w, nb, e_bits, hashLen) { signal input hashed[hashLen]; // sign ** exp mod modulus - component pm = PowerModv2(w, nb, e_bits); + component pm = PowerMod(w, nb, e_bits); for (var i = 0; i < nb; i++) { pm.base[i] <== sign[i]; pm.exp[i] <== exp[i]; @@ -32,7 +47,7 @@ template RsaVerifyPkcs1v15(w, nb, e_bits, hashLen) { pm.out[4] === 217300885422736416; pm.out[5] === 938447882527703397; // // remain 24 bit - component num2bits_6 = Num2Bits(w); + component num2bits_6 = NumToBits(w); num2bits_6.in <== pm.out[6]; var remainsBits[32] = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0]; for (var i = 0; i < 32; i++) { diff --git a/circuits/sub.circom b/circuits/sub.circom deleted file mode 100644 index a9e184b..0000000 --- a/circuits/sub.circom +++ /dev/null @@ -1,48 +0,0 @@ -pragma circom 2.0.0; - -include "../circomlib/circuits/bitify.circom"; - - -template Sub(w, n1, n2) { - signal input x[n1]; - signal input y[n2]; - - signal output out[n1]; - - // assert n1 >= n2 - - // Witness computation - var borrow = 0; - var temp = 0; - var carry_v = 1 << w; - - var t[n1]; - // out = a - for (var i = 0;i < n1; i++) { - t[i] = x[i]; - } - - - for (var i = 0; i < n1; i++) { - if (i < n2) { - temp = y[i]; - } else { - temp = 0; - } - - if (x[i] < (temp + borrow)) { - t[i] = x[i] - temp - borrow + carry_v; - borrow = 1; - } else { - t[i] = x[i] - temp - borrow; - borrow = 0; - } - } - - for (var i = 0; i < n1; i++) { - out[i] <== t[i]; - } - - // Constraints conditions - // TODO: x + y === out -} diff --git a/package-lock.json b/package-lock.json index 715d8e9..47b0129 100644 --- a/package-lock.json +++ b/package-lock.json @@ -1,839 +1,612 @@ { - "name": "rsa_verify", - "version": "0.1.0", - "lockfileVersion": 2, + "name": "circomlib", + "version": "2.0.5", + "lockfileVersion": 3, "requires": true, "packages": { "": { - "name": "rsa_verify", - "version": "0.1.0", + "name": "circomlib", + "version": "2.0.5", "license": "GPL-3.0", - "dependencies": { - "circom_tester": "^0.0.7", - "circomlib": "^2.0.2", - "jest": "^27.0.6", - "node-rsa": "^1.1.1", - "npm": "^7.20.1", - "test": "^0.6.0" - }, "devDependencies": { - "chai": "^4.1.0", - "mocha": "^5.2.0", - "snarkjs": "0.1.16" + "@noble/secp256k1": "1.3.4", + "@types/chai": "^4.3.0", + "@types/expect": "^24.3.0", + "@types/mocha": "^9.0.0", + "chai": "^4.3.4", + "circom_tester": "0.0.19", + "mocha": "^9.1.3", + "ts-node": "^10.4.0", + "typescript": "^4.5.4" } }, "node_modules/@babel/code-frame": { - 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"dev": true - }, - "yallist": { - "version": "4.0.0", - "resolved": "https://registry.npmjs.org/yallist/-/yallist-4.0.0.tgz", - "integrity": "sha512-3wdGidZyq5PB084XLES5TpOSRA3wjXAlIWMhum2kRcv/41Sn2emQ0dycQW4uZXLejwKvg6EsvbdlVL+FYEct7A==" } } } diff --git a/package.json b/package.json index de57d66..7c187d0 100644 --- a/package.json +++ b/package.json @@ -1,38 +1,36 @@ { - "name": "rsa_verify", - "version": "0.1.0", - "description": "Implementation of rsa verify for Circom", + "name": "circom-rsa-verify", + "version": "2.0.5", + "description": " Zero Knowledge Proof for RSA ", "main": "index.js", "directories": { "test": "test" }, "scripts": { - "test": "mocha --max-old-space-size=160000 -t 1000000s" + "test": "NODE_OPTIONS=--max_old_space_size=56000 mocha -r ts-node/register 'test/**/*.ts'" }, "keywords": [ + "rsa", "circuit", "circom", "zksnark", - "bigint", - "rsa" + "zkp-application" ], "repository": { "type": "git", - "url": "https://github.com/iden3/circomlib.git" + "url": "https://github.com/zkp-application/circom-rsa-verify.git" }, "author": "jacksoom", "license": "GPL-3.0", - "dependencies": { - "circom_tester": "^0.0.7", - "circomlib": "^2.0.2", - "jest": "^27.0.6", - "node-rsa": "^1.1.1", - "npm": "^7.20.1", - "test": "^0.6.0" - }, "devDependencies": { - "chai": "^4.1.0", - "mocha": "^5.2.0", - "snarkjs": "0.1.16" + "@noble/secp256k1": "1.3.4", + "@types/chai": "^4.3.0", + "@types/expect": "^24.3.0", + "@types/mocha": "^9.0.0", + "chai": "^4.3.4", + "circom_tester": "0.0.19", + "mocha": "^9.1.3", + "ts-node": "^10.4.0", + "typescript": "^4.5.4" } -} +} \ No newline at end of file diff --git a/test/circuits/div.circom b/test/circuits/div.circom deleted file mode 100644 index 2a615fd..0000000 --- a/test/circuits/div.circom +++ /dev/null @@ -1,5 +0,0 @@ -pragma circom 2.0.0; - -include "../../circuits/div.circom"; - -component main = div(64, 32); \ No newline at end of file diff --git a/test/circuits/mul.circom b/test/circuits/mul.circom deleted file mode 100644 index 43ad5bb..0000000 --- a/test/circuits/mul.circom +++ /dev/null @@ -1,5 +0,0 @@ -pragma circom 2.0.0; - -include "../../circuits/mul.circom"; - -component main = AsymmetricPolynomialMultiplier(32, 32); diff --git a/test/circuits/mul1.circom b/test/circuits/mul1.circom deleted file mode 100644 index ba4c1cf..0000000 --- a/test/circuits/mul1.circom +++ /dev/null @@ -1,4 +0,0 @@ -pragma circom 2.0.0; -include "../../circuits/div.circom"; - -component main = mul_mod(64, 32); diff --git a/test/circuits/mul_mod.circom b/test/circuits/mul_mod.circom deleted file mode 100644 index c611ff8..0000000 --- a/test/circuits/mul_mod.circom +++ /dev/null @@ -1,5 +0,0 @@ -pragma circom 2.0.0; - -include "../../circuits/mul.circom"; - -component main = mul_mod(64, 32); diff --git a/test/circuits/normalize.circom b/test/circuits/normalize.circom deleted file mode 100644 index 292638c..0000000 --- a/test/circuits/normalize.circom +++ /dev/null @@ -1,5 +0,0 @@ -pragma circom 2.0.0; - -include "../../circuits/div.circom"; - -component main = normalize(64, 8); diff --git a/test/circuits/pow_mod.circom b/test/circuits/pow_mod_64_32.circom similarity index 61% rename from test/circuits/pow_mod.circom rename to test/circuits/pow_mod_64_32.circom index 2b62c73..6bc6f14 100644 --- a/test/circuits/pow_mod.circom +++ b/test/circuits/pow_mod_64_32.circom @@ -2,4 +2,4 @@ pragma circom 2.0.0; include "../../circuits/pow_mod.circom"; -component main = PowerModv2(64, 32, 17); \ No newline at end of file +component main = PowerMod(64, 32, 17); \ No newline at end of file diff --git a/test/circuits/rsa_verify.circom b/test/circuits/rsa_verify.circom deleted file mode 100644 index eead962..0000000 --- a/test/circuits/rsa_verify.circom +++ /dev/null @@ -1,5 +0,0 @@ -pragma circom 2.0.0; - -include "../../circuits/rsa_verify.circom"; - -component main = RsaVerifyPkcs1v15(64, 32, 4); diff --git a/test/circuits/rsa_verify_pkcs1v15.circom b/test/circuits/rsa_verify_pkcs1v15.circom new file mode 100644 index 0000000..7eabb6b --- /dev/null +++ b/test/circuits/rsa_verify_pkcs1v15.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/rsa_verify.circom"; + +component main{public [exp, sign, modulus, hashed]} = RsaVerifyPkcs1v15(64, 32, 17, 4); diff --git a/test/circuits/rsh.circom b/test/circuits/rsh.circom deleted file mode 100644 index 875989e..0000000 --- a/test/circuits/rsh.circom +++ /dev/null @@ -1,5 +0,0 @@ -pragma circom 2.0.0; - -include "../../circuits/div.circom"; - -component main = rsh(64, 64); diff --git a/test/div.js b/test/div.js deleted file mode 100644 index a5cde54..0000000 --- a/test/div.js +++ /dev/null @@ -1,58 +0,0 @@ -const path = require("path"); - -const bigInt = require("big-integer"); -const Scalar = require("ffjavascript").Scalar; -const wasm_tester = require("circom_tester").wasm; - -const { splitToArray } = require("./util.js"); - - -describe("Div bignumber", function () { - this.timeout(100000); - - let circuit; - before(async () => { - circuit = await wasm_tester(path.join(__dirname, "circuits", "div.circom")); - }); - - it("64bits/64words. bignumber left shift", async () => { - - const a = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); - const b = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704594"); - - const remain = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207") - - var inputA = a.multiply(b).add(remain); - - var result = inputA; - - var index = 64 * 32 - 1; - - for (var i = 0; i < index + 1; i++) { - if (result.greaterOrEquals(a.shiftLeft(2047 - i))) { - result = result.subtract(a.shiftLeft(2047 - i)); - } - } - - var testCases = [{ - description: "Div shift 1", - input: { - // 1844674407370955161600 - a: splitToArray(inputA, 64, 64), - b: splitToArray(a, 64, 32), - }, - - output: { - quotient: splitToArray(b, 64, 32), - remainder: splitToArray(remain, 64, 32), - }, - }]; - - - for (var i = 0; i < testCases.length; i++) { - const witness = await circuit.calculateWitness(testCases[i].input, true); - - await circuit.assertOut(witness, testCases[i].output); - } - }); -}); diff --git a/test/mul.js b/test/mul.js deleted file mode 100644 index 71decae..0000000 --- a/test/mul.js +++ /dev/null @@ -1,49 +0,0 @@ -const path = require("path"); - -const bigInt = require("big-integer"); -const Scalar = require("ffjavascript").Scalar; -const wasm_tester = require("circom_tester").wasm; - -const { splitToArray } = require("./util.js"); - - -describe("Polynomial Multiplier", function () { - this.timeout(100000); - - let circuit; - before(async () => { - circuit = await wasm_tester(path.join(__dirname, "circuits", "mul.circom")); - }); - - it("64bits/1words. Polynomial Multiplier", async () => { - - const x = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); - - const y = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); - - const result = x.multiply(y); - var testCases = [{ - description: "calc powerMod", - input: { - // 1844674407370955161600 - in0: splitToArray(x, 64, 32), - in1: splitToArray(y, 64, 32), - - }, - output: { out: [ - "184844210027151388892934458841320724129", - "458877555447551606985976398272636369790", - "310847914647051799709057266981032763843", - "68158120836031314442767057703068634816", - "501339735894090405155201467959470373683" - ] }, - }]; - - - for (var i = 0; i < testCases.length; i++) { - const witness = await circuit.calculateWitness(testCases[i].input, true); - - await circuit.assertOut(witness, testCases[i].output); - } - }); -}); diff --git a/test/mul_mod.js b/test/mul_mod.js deleted file mode 100644 index 7c670d1..0000000 --- a/test/mul_mod.js +++ /dev/null @@ -1,46 +0,0 @@ -const path = require("path"); - -const bigInt = require("big-integer"); -const Scalar = require("ffjavascript").Scalar; -const wasm_tester = require("circom_tester").wasm; - -const { splitToArray } = require("./util.js"); - - -describe("Mul mod bignumber", function () { - this.timeout(100000); - - let circuit; - before(async () => { - circuit = await wasm_tester(path.join(__dirname, "circuits", "mul_mod.circom")); - }); - - it("64bits/64words. bignumber left shift", async () => { - - const a = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); - const b = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704594"); - - const modulus = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407") - - var testCases = [{ - description: "Div shift 1", - input: { - // 1844674407370955161600 - a: splitToArray(a, 64, 32), - b: splitToArray(b, 64, 32), - modulus: splitToArray(modulus, 64, 32), - }, - - output: { - out: splitToArray(a.multiply(b).mod(modulus), 64, 32), - }, - }]; - - - for (var i = 0; i < testCases.length; i++) { - const witness = await circuit.calculateWitness(testCases[i].input, true); - - await circuit.assertOut(witness, testCases[i].output); - } - }); -}); diff --git a/test/normalizes.js b/test/normalizes.js deleted file mode 100644 index 81fa28a..0000000 --- a/test/normalizes.js +++ /dev/null @@ -1,56 +0,0 @@ -const path = require("path"); - -const bigInt = require("big-integer"); -const Scalar = require("ffjavascript").Scalar; -const wasm_tester = require("circom_tester").wasm; - -const { splitToArray } = require("./util.js"); - - -describe("Normalizes bignumber", function () { - this.timeout(100000); - - let circuit; - before(async () => { - circuit = await wasm_tester(path.join(__dirname, "circuits", "normalize.circom")); - }); - - it("64bits/64words. bignumber left shift", async () => { - var testCases = [{ - description: "One word. No need for sub", - input: { - a: splitToArray(bigInt("4"), 64, 8), - modulus: splitToArray(bigInt("5"), 64, 8), - }, - output: { out: [4, 0, 0, 0, 0, 0, 0, 0] }, - }, { - description: "Two word. Need for sub", - input: { - a: splitToArray(bigInt("45613215616541654654"), 64, 8), - modulus: splitToArray(bigInt("45613215616541654651"), 64, 8), - }, - output: { out: [3, 0, 0, 0, 0, 0, 0, 0] }, - }, { - description: "Three word. Need for sub", - input: { - a: splitToArray(bigInt("35165413564654612131346546516513054615640"), 64, 8), - modulus: splitToArray(bigInt("35165413564654612131346546516513054615636"), 64, 8), - }, - output: { out: [4, 0, 0, 0, 0, 0, 0, 0] }, - }, { - description: "Eight word. Need for sub", - input: { - a: splitToArray(bigInt("3516541356445124321613556156315611321654561563153615613213156315615615612316156123132123132165156465132165465465411651656546126513054615644"), 64, 8), - modulus: splitToArray(bigInt("3516541356445124321613556156311611321654561563153615613213156315615615612316156123132123132165156465132165465465411651656546126513054615640"), 64, 8), - }, - output: { out: splitToArray((bigInt("3516541356445124321613556156315611321654561563153615613213156315615615612316156123132123132165156465132165465465411651656546126513054615644").subtract(bigInt("3516541356445124321613556156311611321654561563153615613213156315615615612316156123132123132165156465132165465465411651656546126513054615640"))), 64, 8) }, - } - ] - - for (var i = 0; i < testCases.length; i++) { - const witness = await circuit.calculateWitness(testCases[i].input, true); - - await circuit.assertOut(witness, testCases[i].output); - } - }); -}); diff --git a/test/pow_mod.js b/test/pow_mod.js deleted file mode 100644 index d4d0f6e..0000000 --- a/test/pow_mod.js +++ /dev/null @@ -1,44 +0,0 @@ -const path = require("path"); - -const bigInt = require("big-integer"); -const Scalar = require("ffjavascript").Scalar; -const wasm_tester = require("circom_tester").wasm; - -const { splitToArray } = require("./util.js"); - - -describe("Pow mod", function () { - this.timeout(100000); - - let circuit; - before(async () => { - circuit = await wasm_tester(path.join(__dirname, "circuits", "pow_mod.circom")); - }); - - it("64bits/1words. Polynomial Multiplier", async () => { - - //var powmod_2048_256; - var m = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); - var b = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); - var e = bigInt(65537); - - - var testCases = [{ - description: "calc powerMod", - input: { - // 1844674407370955161600 - base: splitToArray(b, 64, 32), - exp: splitToArray(e, 64, 32), - modulus: splitToArray(m, 64, 32), - }, - output: { out: b.modPow(e, m) }, - }]; - - - for (var i = 0; i < testCases.length; i++) { - const witness = await circuit.calculateWitness(testCases[i].input, true); - - await circuit.assertOut(witness, testCases[i].output); - } - }); -}); diff --git a/test/rsa_verify.js b/test/rsa_verify.js deleted file mode 100644 index 0560426..0000000 --- a/test/rsa_verify.js +++ /dev/null @@ -1,101 +0,0 @@ -// const chai = require("chai"); -// const path = require("path"); -// const snarkjs = require("snarkjs"); -// const bigInt = require("big-integer"); -// const assert = chai.assert; -// const tester = require("circom").tester; - - -// const compiler = require("circom"); - -// const { splitToWords, assertWitnessHas, splitToArray } = require("./util.js"); - -// chai.should(); - -// describe("Rsa pkcs1v15 verify", () => { -// let circuit; -// before(async () => { -// circuit = await tester(path.join(__dirname, "circuits", "rsa_verify.circom")); -// }); - - -// it("2048 bits public key. correct sign. 1", async () => { -// // public key params. decimal -// const modulus = bigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); -// const exp = 65537; -// // signature. decimal -// const sign = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); -// // hashed data. decimal -// const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); - -// const p_a = sign.shiftLeft(bigInt(64 * 32)).mod(modulus); -// const p_A = bigInt(1).shiftLeft(bigInt(64 * 32)).mod(modulus); -// const m0ninv = "12890617734997456953"; - -// const input = { -// p_a: splitToArray(p_a, 64, 32), -// p_A: splitToArray(p_A, 64, 32), -// exp: exp, -// p: splitToArray(modulus, 64, 32), -// m0ninv: m0ninv, -// hashed: splitToArray(hashed, 64, 4), -// }; - -// const witness = circuit.calculateWitness(input, true); -// }); - -// it("2048 bits public key. correct sign. 2", () => { -// // public key params. decimal -// const modulus = bigInt("24226501697440012621102249466312043787685293040734225606346036389705515508545746221669035424138747582133889500686654172873671086178893587422987328751464627501601101326475761646014534358699943642495332701081302954020983110372109611581202820849485662540890985814355975252780310958088652613376767040069489530039075302709233494829280591680666351811024913107949144932224439129715181798714328219977771472462901856297952813239115577652450722815852332547886777292613005505949100406231716599634852632308325816916535875123863510650526931916871614411907700873376659841257216885666098127478325534982891697988739616416855214839339"); -// const exp = bigInt(65537); -// // signature. decimal -// const sign = bigInt("18928545496959757512579438348223103860103247450097569223971486743312798156950374943336714741350742176674694049986481729075548718599712271054643150030165230392897481507710187505775911256946250999396358633095137650326818007610162375520522758780751710735664264200260854016867498935206556916247099180950775474524799944404833222133011134000549939512938205188018503377612813102061504146765520561811620128786062447005833886367575841545493555268747671930923697279690399480501746857825917608323993022396398648205737336204493624060285359455268389160802763426461171262704764369336704988874821898000892148693988241020931055723252"); -// // hashed data. decimal -// const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); - -// const p_a = sign.shiftLeft(bigInt(64 * 32)).mod(modulus); -// const p_A = bigInt(1).shiftLeft(bigInt(64 * 32)).mod(modulus); -// const m0ninv = "4736324870124914557"; - -// const input = { -// p_a: splitToArray(p_a, 64, 32), -// p_A: splitToArray(p_A, 64, 32), -// exp: exp, -// p: splitToArray(modulus, 64, 32), -// m0ninv: m0ninv, -// hashed: splitToArray(hashed, 64, 4), -// }; - -// const witness = circuit.calculateWitness(input, true); -// }); - -// it("2048 bits public key. uncorrect sign. ", () => { -// // public key params. decimal -// const modulus = bigInt("24226501697440012621102249466312043787685293040734225606346036389705515508545746221669035424138747582133889500686654172873671086178893587422987328751464627501601101326475761646014534358699943642495332701081302954020983110372109611581202820849485662540890985814355975252780310958088652613376767040069489530039075302709233494829280591680666351811024913107949144932224439129715181798714328219977771472462901856297952813239115577652450722815852332547886777292613005505949100406231716599634852632308325816916535875123863510650526931916871614411907700873376659841257216885666098127478325534982891697988739616416855214839339"); -// const exp = bigInt(65537); -// // signature. decimal -// const sign = bigInt("18928545496959756512579438348223103860103247450097569223971486743312798156950374943336714741350742176674694049986481729075548718599712271054643150030165230392897481507710187505775911256946250999396358633095137650326818007610162375520522758780751710735664264200260854016867498935206556916247099180950775474524799944404833222133011134000549939512938205188018503377612813102061504146765520561811620128786062447005833886367575841545493555268747671930923697279690399480501746857825917608323993022396398648205737336204493624060285359455268389160802763426461171262704764369336704988874821898000892148693988241020931055723252"); -// // hashed data. decimal -// const hashed = bigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); - - -// const p_a = sign.shiftLeft(bigInt(64 * 32)).mod(modulus); -// const p_A = bigInt(1).shiftLeft(bigInt(64 * 32)).mod(modulus); -// const m0ninv = "4736324870124914557"; - -// const input = { -// p_a: splitToArray(p_a, 64, 32), -// p_A: splitToArray(p_A, 64, 32), -// exp: exp, -// p: splitToArray(modulus, 64, 32), -// m0ninv: m0ninv, -// hashed: splitToArray(hashed, 64, 4), -// }; - -// (function () { -// const witness = rsa_pkvs1v15_circuit.calculateWitness(input); -// }.should.throw()); - -// }); -// }); - diff --git a/test/rsh.js b/test/rsh.js deleted file mode 100644 index 8804578..0000000 --- a/test/rsh.js +++ /dev/null @@ -1,39 +0,0 @@ -const path = require("path"); - -const bigInt = require("big-integer"); -const Scalar = require("ffjavascript").Scalar; -const wasm_tester = require("circom_tester").wasm; - -const { splitToArray } = require("./util.js"); - - -describe("Rsh bignumber", function () { - this.timeout(100000); - - let circuit; - before(async () => { - circuit = await wasm_tester(path.join(__dirname, "circuits", "rsh.circom")); - }); - - it("64bits/64words. bignumber left shift", async () => { - - const x = bigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593").shiftLeft(32 * 64); - - const result = x; - var testCases = [{ - description: "Right shift 1", - input: { - // 1844674407370955161600 - a: splitToArray(x, 64, 64), - }, - output: { out: splitToArray(result.shiftRight(1), 64, 64)}, - }]; - - - for (var i = 0; i < testCases.length; i++) { - const witness = await circuit.calculateWitness(testCases[i].input, true); - - await circuit.assertOut(witness, testCases[i].output); - } - }); -}); diff --git a/test/test_pow_mod.ts b/test/test_pow_mod.ts new file mode 100644 index 0000000..19fd125 --- /dev/null +++ b/test/test_pow_mod.ts @@ -0,0 +1,70 @@ +import path = require("path"); +import { expect, assert } from 'chai'; +const circom_tester = require('circom_tester'); +const wasm_tester = circom_tester.wasm; + +// TODO: Factor this out into some common code among all the tests +const F1Field = require("ffjavascript").F1Field; +const Scalar = require("ffjavascript").Scalar; +exports.p = Scalar.fromString("21888242871839275222246405745257275088548364400416034343698204186575808495617"); +const Fr = new F1Field(exports.p); + +function bigint_to_array(n: number, k: number, x: bigint) { + let mod: bigint = 1n; + for (var idx = 0; idx < n; idx++) { + mod = mod * 2n; + } + + let ret: bigint[] = []; + var x_temp: bigint = x; + for (var idx = 0; idx < k; idx++) { + ret.push(x_temp % mod); + x_temp = x_temp / mod; + } + return ret; +} + + +describe("Power mod n = 64, k = 32, ", function () { + this.timeout(1000 * 1000); + + // runs circom compilation + let circuit: any; + before(async function () { + circuit = await wasm_tester(path.join(__dirname, "circuits", "pow_mod_64_32.circom")); + }); + + // a, e, m, (a ** e) % m + let test_cases: Array<[bigint, bigint, bigint, bigint]> = []; + let a = BigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); + let e = BigInt(65537); + let m = BigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); + let result = (a ** e) % m; + + test_cases.push([a, e, m, result]); + + let test_bigsubmodp_32 = function (x: [bigint, bigint, bigint, bigint]) { + const [a, b, p, result] = x; + + let a_array: bigint[] = bigint_to_array(64, 32, a); + let b_array: bigint[] = bigint_to_array(64, 32, b); + let p_array: bigint[] = bigint_to_array(64, 32, p); + let result_array: bigint[] = bigint_to_array(64, 32, result); + + it('Testing a: ' + a + ' b: ' + b + ' p: ' + p, async function () { + let witness = await circuit.calculateWitness({ + "base": a_array, + "exp": b_array, + "modulus": p_array + }); + + for (var i = 0; i < 32; i++) { + expect(witness[i + 1]).to.equal(result_array[i]); + } + + await circuit.checkConstraints(witness); + }); + } + + test_cases.forEach(test_bigsubmodp_32); +}); \ No newline at end of file diff --git a/test/test_rsa_pkcs1v15.ts b/test/test_rsa_pkcs1v15.ts new file mode 100644 index 0000000..39e4a85 --- /dev/null +++ b/test/test_rsa_pkcs1v15.ts @@ -0,0 +1,71 @@ +import path = require("path"); +import { expect, assert } from 'chai'; +const circom_tester = require('circom_tester'); +const wasm_tester = circom_tester.wasm; + +// TODO: Factor this out into some common code among all the tests +const F1Field = require("ffjavascript").F1Field; +const Scalar = require("ffjavascript").Scalar; +exports.p = Scalar.fromString("21888242871839275222246405745257275088548364400416034343698204186575808495617"); +const Fr = new F1Field(exports.p); + +function bigint_to_array(n: number, k: number, x: bigint) { + let mod: bigint = 1n; + for (var idx = 0; idx < n; idx++) { + mod = mod * 2n; + } + + let ret: bigint[] = []; + var x_temp: bigint = x; + for (var idx = 0; idx < k; idx++) { + ret.push(x_temp % mod); + x_temp = x_temp / mod; + } + return ret; +} + + +describe("Test rsa pkcs1v15 n = 64, k = 32", function () { + this.timeout(1000 * 1000); + + // runs circom compilation + let circuit: any; + before(async function () { + circuit = await wasm_tester(path.join(__dirname, "circuits", "rsa_verify_pkcs1v15.circom")); + }); + + // a, e, m, (a ** e) % m + let test_cases: Array<[bigint, bigint, bigint, bigint]> = []; + let m = BigInt("27333278531038650284292446400685983964543820405055158402397263907659995327446166369388984969315774410223081038389734916442552953312548988147687296936649645550823280957757266695625382122565413076484125874545818286099364801140117875853249691189224238587206753225612046406534868213180954324992542640955526040556053150097561640564120642863954208763490114707326811013163227280580130702236406906684353048490731840275232065153721031968704703853746667518350717957685569289022049487955447803273805415754478723962939325870164033644600353029240991739641247820015852898600430315191986948597672794286676575642204004244219381500407"); + let exp = BigInt(65537); + let sign = BigInt("27166015521685750287064830171899789431519297967327068200526003963687696216659347317736779094212876326032375924944649760206771585778103092909024744594654706678288864890801000499430246054971129440518072676833029702477408973737931913964693831642228421821166326489172152903376352031367604507095742732994611253344812562891520292463788291973539285729019102238815435155266782647328690908245946607690372534644849495733662205697837732960032720813567898672483741410294744324300408404611458008868294953357660121510817012895745326996024006347446775298357303082471522757091056219893320485806442481065207020262668955919408138704593"); + // hashed data. decimal + let hashed = BigInt("83814198383102558219731078260892729932246618004265700685467928187377105751529"); + + + test_cases.push([exp, sign, m, hashed]); + + let test_rsa_verify = function (x: [bigint, bigint, bigint, bigint]) { + const [exp, sign, m, hashed] = x; + + let exp_array: bigint[] = bigint_to_array(64, 32, exp); + let sign_array: bigint[] = bigint_to_array(64, 32, sign); + let m_array: bigint[] = bigint_to_array(64, 32, m); + let hashed_array: bigint[] = bigint_to_array(64, 4, hashed); + + it('Testing ', async function () { + let witness = await circuit.calculateWitness({ + "exp": exp_array, + "sign": sign_array, + "modulus": m_array, + "hashed": hashed_array + }); + + + + await circuit.checkConstraints(witness); + }); + } + + test_cases.forEach(test_rsa_verify); +}); \ No newline at end of file diff --git a/test/util.js b/test/util.js deleted file mode 100644 index f665e90..0000000 --- a/test/util.js +++ /dev/null @@ -1,32 +0,0 @@ -const bigInt = require("big-integer"); - - -function splitToArray(x, w, n) { - let t = bigInt(x); - w = bigInt(w); - n = bigInt(n); - var words = new Array(w); - for (let i = 0; i < n; ++i) { - // words[`${name}[${i}]`] = `${t.mod(bigInt(2).pow(w))}`; - words[i] = `${t.mod(bigInt(2).pow(w))}`; - t = t.divide(bigInt(2).pow(w)); - } - if (!t.isZero()) { - throw `Number ${x} does not fit in ${w * n} bits`; 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